Integral Search Results

How To: Calculate a surface integral in calculus

Need help figuring out how to calculate surface integrals in calculus? Learn how. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to fin...

How To: Solve a line integral over a closed path

Line integrals will no longer be the feared terrorist of the math world thanks to this helpful guide from the Khan Academy. Marvel at the ease in which the integral is taken over a closed path and solved definitively. Then take out a sheet of paper and see if you can do the same.

How To: Solve scalar field integrals in calculus

This video demonstrates that the line integral of a scalar field is independent of path direction. Learn how to solve scalar-field integrals with this free video calculus lesson. Looking for a primer on how to solve matrix problems using a TI-89 graphing calculator? See how it's done with this free video algebra lesson. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, i...

How To: Use Maclaurin/Taylor series to find accurate integrals

See how to approximate a definite integral to a desired accuracy using Maclaurin/Taylor series and the alternating series estimation theorem with this free video calculus lesson. See how it's done with this free video algebra lesson. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study...

How To: Use Green's Theorem to solve a line integral

This three part video walks you through using Green's theorem to solve a line integral. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like your back in the classroom but rather comfortably from your home.

How To: Solve complex indefinite integrals in calculus

In this video the math teacher explains the meaning of the indefinite integral formula in calculus by stating it in terms of antiderivatives. He then shows in general terms how this indefinite integral formula has a related derivative formula, i.e. if the derivative of F(x) is f(x) then the indefinite integral of f(x) is F(x) plus a constant term (C). With this general relationship the teacher takes us through three related examples where he converts a derivative formula to an integral formul...

How To: Take the indefinite integral of a polynomial

Want to know how to find the indefinite integral (or anti-derivative) of a polynomial? From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll see how to ...

How To: Evaluate a line integral along a straight line segment

This video tutorial is in the Education category which will show you how to evaluate a line integral along a straight line segment using the definition of the line integral. This video evaluates a line integral along a straight line segment using a parametric representation of the curve (using a vector representation of the line segment) and then integrating. A vector representation of a line that starts at r0 and ends at r1 is r(t) = (1-t)r0 + tr1 where t is greater than equal to 0 and lesse...

How To: Use definite integrals to find the area of curves

Brightstorm explains how to use definite integrals to find area. There are two basic area problems: one in which the area lies between the function and the x-axis, and one where the area lies between the two functions. In the first case, if the curve lies above the x-axis for x=a to x=b, the definite integral returns the area. If it lies below the x-axis for x=a to x=b, then the definite integral returns a negative area. In the second case, we assume that f(x) is the higher curve and g(x) is ...

How To: Define an indefinite integral in calculus

In this video tutorial, viewers learn how to define an indefinite integral in calculus. Finding the anti-derivatives of a function is called anti-differentiation. The f(x) is the derivative of F(x), while F(x) is the anti-derivative of f(x). If F(x) is the anti-derivative of f(x), then F(x) + c are all anti-derivatives of f(x). This video is very descriptive and clearly explains all the functions of this mathematical function. This video will benefit those viewers who are students, and are in...

How To: Make a replica of the Spartan laser from Halo 3

The lasers from Halo might not be quite as famous as the assault rifles form the games, but they are still a very cool-looking and integral part of it. This video will show you how to make your own replica of the Spartan laser from Halo out of a toy gun called the Belt Blaster. The end result looks so real it might get you arrested by any cops from the future that you may run into, so be careful.

How To: Use a square lashing

Square lashing is a knot-making technique that has been made famous by the Boy Scouts of America's massive pioneering projects, and is really integral to any structure made out of poles like the one you see in the thumbnail. This video will teach you how to use square lashing to bind two poles together perpendicular to one another. You will need to know how to tie a clove hitch to make this work.

How To: Sew knitted pieces together using a whip stitch and other stitches

Tie loose ends together - in the literal and original sense sense of the phrase - by sewing together the ends and/or hems of your knitting projects like a pro. Whether you're fusing together two pieces of wool-knitted cloth to form the back of a beautiful winter sweater or just want to join patchwork knits into a rasta-cool beanie, knowing how to stick pieces together is integral for a tidy project.

How To: Create visually stunning compositions from 3D renders in After Effects

Compositing and color correction are important and integral steps in processing a 3D render after it is generated in Cinema 4D, 3D Studio Max or any other 3D package. Compositing transforms simple renders and provides them with life, vibrancy and atmosphere. In this demonstration, Greyscale Gorilla breaks down a 5 second project from Rich Hinchcliffe and demonstrates how Rich uses Adobe After Effects, color correction, blurs, ReelSmart Motion BLur, Frischluft Lens Care and Lens Flares to tran...

How To: Dance with sexy booty shaking moves at the club

Let this video be as integral a part of your pre-club prep as hairstyling and putting on makeup. After all, we know that even if we're looking our sexiest in our six inch Blahniks, once we actually hit the dance floor it becomes Awkward Central. Some gals find their groove naturally, but for others, it takes a bit of trial and error (and maybe some Jack Daniel's) to loosen up a bit.

How To: Solve for the area under a curve in calculus

Learn how to use the definite integral to solve for the area under a curve. Also see why an antiderivative is the same thing as the area under a curve. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test). With this installment from Internet pedagogical supersta...

How To: Do a sports massage

There are 8 short videos all together to show you the 8 different therapies of sports massage. Sports therapy massage is an integral part of athletics. Massage can be a very crucial aspect to an athletes performance and competition.

How To: Find the average value of a function over an interval

When you have to find the average of two or five numbers then you have to add all the numbers and then divide then by two or five respectively. However in the case of the function you have infinite many values over any interval. But it is not possible to add all and then divide by infinity. Therefore you have to calculate in a different way. Imagine that you have to find the average of y=f(x). Then you have to average it from the interval from ‘a’ to ‘b’. The inner area under the curve shall ...

How To: Antidifferentiate functions with radicals in calculus

This video demonstrates how to do anti-differentiate functions with radicals in calculus. To simply problems, try to substitute. For example, in the problem, the integral of x times the square root of x plus 2 dx. You can substitute w for everything underneath the radical: i.e. x + 2. When you simplify, it becomes: the integral of x times the square root of w dw. Now, you need to get rid of the x, which you can do with a substitution: w – 2 = x. Now, plug in the values and simplify it.

How To: Do Jiu-Jitsu throws

Check out this martial arts tutorial video that demonstrates how to throw your opponent. Throws are an integral part of jujitsu and all martial arts. Get expert tips and advice on grappling in this instructional Jiu-Jitsu video. There are a lot of ways to get your opponent off balance. Learn how with this video and practice your Jiu-Jitsu sills and techniques.

How To: Derive the area of a circle

This video is about deriving the area of a circle of radius 'r' using polar co-ordinate. First, we draw a circle and its radius 'r'. Then draw another radius close to it, so that it forms a small triangle-like figure. To find the area of the complete circle, divide the circle into similar small triangles. The area of each triangle is given by half the product of its perpendicular and the base. We give the angle between the two radii as d?. We get the area of the small triangle by substituting...

How To: Replace the blade of a utility knife

This is an instructional video featuring Doug Prime, founder of the Future Engineers Center at the University of Massachusetts Lowell. This is an instructional on utility knives that are used to cut foam board and cardboard. The blade replacement is integral to this craft or hobby tool's maintenance.

How To: Bake paratha

Paratha are an Indian unleavened bread and an integral part of many Indian meals. Any subzi (vegetable) or curry dish can be fabulous when accompanied with fresh, hot parathas. Note: Chapatis are cooked without oil whereas Parathas are pan fried.

How To: Make Mexican salsa

Hetal and Anuja from Show Me The Curry take us through the steps to make a tasty, fresh salsa which is an integral part of Mexican cuisine. You will need a food processor for this recipe, a blender would make the salsa to thin and soup like. First, add the following ingredients to your food processor. * 2 Large tomatoes or 4 Roma tomatoes, chopped * 1/4 of an onion, chopped * jalapeños - to taste (They used about 2 large jalapeños but you may want more or less according to your taste preferen...

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