4.81. Evaluate each of the following: (a) 2 mi J e³z dz, mi (b) | sinh 5zdz. ·S 0 (c) mti ! z cos 2z dz.

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A: Solve the following

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A: Limit of the given function can be computed directly as the function doesnt have any discontinuity…

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A: We have to find value of given integration. Let value of integration is I and sin(3x)=first…

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A:

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A:

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A: Use substitutions method for finding the integral.

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A:

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A: This question can be solved using integration by substitution.

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A:

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A:

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Q: B. Find y). 1. y = cosh?x 2. y = x tan-1 x - In vx2 + 1

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A:

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A:

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A:

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A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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A:

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A: Given: y43=sinx cosx1+2ln x   ...(1)To find : dydx=?Formula: sin 2x=2sin x cos xcos 2x =cos2 x-sin2…

Q: =|N 2 sin(x) sin (cos(x)) dx [ cot(ax) dx, a € R 4x - 3 dr.

A:

Q: 1. Find for the following functions : dx 4i) y-bmcx* +2y}kos x (ans.: 4x.cos x - 2 In( x² + 2 )sin x…

A: To find the dy/dx of  y=[ln(x²+2)²]cosx