2 sin x dx cos x 7.

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A: We need to evaluate integral.

Q: (8 cos x + 9 sin x) dx

A: SOLUTION-

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A:

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A: As per our guidelines we are supposed to answer only one question and rest of the question will be…

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A: (2). We need to evaluate the following integral  ∫0πexsinxdx

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A:

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A:

Q: 3.) ž sin'(x)dx

A:

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

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A:

Q: 4 sin x dx (1 + cos x)²

A: Here we have to solve the given integration.

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A:

Q: 5. Se* (sin x + cos x) dx

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Q: dx 2. S; 3 cos x+4 sin x

A:

Q: COSX sin x dx 4. S 1-ఆశి అరికి న

A:

Q: sin x dx 2. cos x 4

A: For the given Definite integral is evaluate by using change of variable method as shown below

Q: 3.x cos 5x dx 5. ( re'/2 dr

A: 3.Integration by parts;∫ uv dx=u∫v dx -∫dudx∫vdx dxI=∫ x cos5x dxu=x, v=cos5xI=x∫cos(5x) dx -∫ (1…

Q: T/2 COSX dx (2 +3 sin x)

A:

Q: 2 | (sin³x cos x + sinxcosx)dx 7/2 π

A:

Q: 10. sin x cos x dx

A: Given:- ∫ sin3(x) cos5(x) dx

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A:

Q: "/2 sin x dx Jn/a V1-2 cos x 4.

A: As per the guidelines  we can answer only one question at a time. If you want to get the answers  of…

Q: T/2 cosx dx (4 +2 sin x)3

A:

Q: 2 sin (3x) d%

A:

Q: 1. sin° x cos x dx

A: sin3x cos4x  = sin(x) sin2(x) cos4(x)  = sin(x) (1 - cos2(x)) cos4(x)  = sin(x) (cos4(x) - cos6(x))…

Q: Cos ax sin 2x x' sin mx 13. dx, a>0 14. dx 15. dx, a>0 1+x

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 3 sin x 1. S- dx 1+cosx

A:

Q: 7 sin x dx = 1 + cos x

A: ∫0π27 sin x1+ cos xdx

Q: 4. (e) sinx-cos" xr sinx-

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: (#5) ſ cos³ (x)sin*(x)dx =

A: Given the function,

Q: sin x dx 2+ cos x 4. - T

A:

Q: 3. sin x cos x dx

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. sin x dx

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: sin x dx 2 (1+ cos x)² 12.

A:

Q: 1 dx J 3 sin x+4 cos x+3

A:

Q: 3T/2 1|sin(x| dx 01

A: Topic = Integration   using this definationsin x=sin xif 0≤x≤π-sin xif π<x≤2π

Q: n/2 | (sin x)²(cos x)*dx 0.

A:

Q: (6secx cos x dx :

A: Put secx = 1/cos(x)

Q: sin x dx 7+ cos x 2

A:

Q: y = cos 3x a. 3 sin 3x b. - sin 3x c. sin 3x d. -3 sin 3x с.

A:

Q: 6. sin x cos°x dx

A: We need to evaluate integral.

Q: •/2 sin x cos x dx

A: To find:

Q: Evaluate the following:

A: Given:∫0π2sinx1+cosx dx

Q: | cos(x) sin(2x) dæ

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Q: 3 sin x d.x 4 1. Show that

A: