e of y = -3 sin x + 5? (I Vミー

Q: I. Evaluate /4x2 + 4x + 5 dx

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Q: dx= A B e-1 © 1-)

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 3/

A: In general, the integral of a real valued function f(x) with respect to a real variable x on an…

Q: (f) / sec“ y dy. tan5

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Q: -50 t° dt) d Simplify da J-sin² Please select file(s) Select file(s)

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Q: [ 3 -dx 33 + 1 ]

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Q: 1 -dx V 9x² + 18x + 45 2

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Q: (글) 2sinh -dx = Select one: O a. co cosh O b. (글) sech tanh d. csch

A: Properties used, a) Sinh (-x)= Sinh x b) Cosh (-x)= Cosh x c) ∫Sinh x dx= Cosh x +c

Q: EX Fin d 1-3X dX -3x) dx

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Q: xP (2) X?-メ-3

A: 1. By Limit comparison test take ∑n=1∞Vn=∑1x32 .And limn→∞UnVn= finite.

Q: 4.x²e2" dx 2.21 4. (d)

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Q: Aprove that t-L sin 21tc) cosect is the answer sf dy +(Eatt) y = sint %3D

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Q: I(x²-x)dx= O a. -30 O b. 5 O c. 9 O d. 0

A: Given integral is  ∫-22x3-xdx

Q: 8x²e2° dx .3 (3) Evaluate

A: To evaluate:

Q: et – 4x2 dx = 4 + С. +

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Q: 2х + у dy 3+ 3у? — х dx 3.

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Q: dx -(r+

A: We have to evaluate the following integral: ∫dx4-x+22

Q: (cosh ar +h)dr

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Q: Find dy. y = 33 + 10x4 – 5x5 dy = (Simplify your answer.)

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Q: 8 00 -00 dx 4x²+1

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Q: 5- Evaluate: f Sin (2x7 - 3) dx x6

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Q: 5x3 b. y = %3D x3-sin x

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Q: 2 S. x*- 4x +4 dx (メ-2)(x4) |

A: Solution: Consider the given integral is: I = ∫x2-4x+4(x-2)(x2+4)dxI = ∫x-22(x-2)(x2+4)dxI =…

Q: ay 3y fobit 2

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Q: 1 dx 3. -9x2 – 2

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Q: 1 dx 4+vx 10.

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Q: x² dx. Evaluate: /2x3 -1 -1

A: We have to evaluate the integral

Q: Vx2 – 4 d.x 3.

A: Please refer the attached image for complete solution.

Q: Qg Solve: coshx-1 .dx

A: Basic hyperbolic identities are used along with integration identities.

Q: I. Evaluate S x² +6 x³ + 3x dx.

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