d (sin(0) cos(0)) (a) do

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A: This question can be solved using the concept of properties of definite integrals.

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Q: cos 2x 12) S 2cos2x sin x – sin x dx -

A: To integrate:∫cos2x2cos2xsinx-sinxdx Solution: ∫cos2x2cos2xsinx-sinxdx On simplifying further we…

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Q: fe²x+Inx² sin x² dx = +²√e²x cos x² dx

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A: we use  2 cos A sin B = Sin(A+B)-sin(A-B) sin(-x)= sinx

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A: Solution is given below:

Q: cos2x a) -.dx,b) xe*. dy Į sin2x. [In(sin2x)]² + sin2x 0.

A:

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Q: x4 1 If u = tan(- + y° x² – y² - then show that ди du + Y- ду X - = sin2u dx

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Q: ∫cos(3t)sin(8t)dt

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Q: sinh(Inx)dx 1) 2) fe* sinade e*.sinxdx 3) sin? (2x).cos(3x) G

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Q: 3 1. cos x - 5 dx -3

A: The given integral is ∫-34 cosx-3x5dx. Evaluate as follows.

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Q: Find y' , for y=Sin-1(Cos√x)+Cos-1(Sin√x)

A: The solution for the above question is as shown below.

Q: (b) cos x = 0.549

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Q: 6. S sin*(e³*) cos(e³*) e³× dx

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Q: Find the solution of the equation Cos y which tends to zero as x - 0o and has the value cos y when x…

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Q: 16 ) d du -1 cos и — 1<и<1 dx V1 – u² dx

A: As we know that the differentiation properties:- chain rule: ddx(f(g(x)))=f'(g(x))g'(x)…

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A: Given: y=sin-1x if x = 12, then  y=sin-112

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A: Solving the problem by finding the value of the problem.

Q: 10. 4 COS dx 2

A: the given integral is: ∫cos4x2dx we have to evaluate the given integral.

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Q: Find the solution of the equation = e Cos y which tends to zero as x → 0o and has the value cos y…

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Q: cos x 6) dx is equal to sin x A. In/2 В. Inv3 C. In" D. In e

A: The  given integral is ∫π4π2cosxsinxdx

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A: we have to find the following integral