Evaluate the following integrals. 3xx + 1dx b. de. a. tan²

Q: 14.1 dx V16-x dx 15. . Vx -1

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Q: Find the indicated integral. Simpl. ky final GASher 4 v-3/2

A: Given that, The integral is following, I = ∫5x+3x2(2x4-x-3/2) dx We have to solve this integral.

Q: Evaluate the following inte dx x>- 216x -9 dx 216x-9 (Type an exact answer.)

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Q: Evaluate the following integral. 9x2 +13.r 2 dp- +C %3D

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Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral. S…

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Q: S(In x)² dx

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Q: Solve the integral. cos x dx J (1+ sin² x) arctan (sin x) 10.

A: To evaluate:                      ∫cos x(1+sin2 x)arctan(sin x)dx    ... (1)

Q: Evaluate the 2 222 $² ne dn integral

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Q: 1 I. 1+ Vx xp:

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Q: Evaluate the integral 12 cosh 2r dr.

A:

Q: to

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.