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# Solved: In 512, use Stokes theorem to evaluate C F d r. Assume C is oriented

ISBN: 9781284105902 342

## Solution for problem 12 Chapter 9.14

Advanced Engineering Mathematics | 6th Edition

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Advanced Engineering Mathematics | 6th Edition

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Problem 12

In 512, use Stokes theorem to evaluate C F d r. Assume C is oriented counterclockwise as viewed from above.

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Step 1 of 3

L31 - 4 We now generalize this process: To ﬁnd the area under the curve y = f(x) on [a,b]: Divide [a,b]io n subintervals using partition a = = b This creates n subintervals: Then consider n rectangles, one for each subinterval: Width ∆x = Height: f(x i, where x ii Area A can be approximated by the sum of the areas of the n rectangles: This sum is called a Riemann sum.

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