1.4. S sin5xsin3xdx Ans:

Q: Se*cos2x dx

A: We have to evaluate the integral ∫ex cos(2x) dx.   Integration by parts : ∫u·v dx = u·∫v dx -…

Q: Evaluate the following integrals Sఊ dx ユーメ~arc Sinx

A: d(arc sin(x))dx=11-x2 ∫1xdx = ln(x)+C

Q: Evaluate the following integral. ∫(3 cosx - 4 sinx)dx

A:

Q: Evaluate the following integrals sin³ (x) cos³(x) dx

A: Given ∫sin3xcos3xdx

Q: Evaluate the following integrals. 1. S sin*(2x) dx

A: As per bartleby guidelines we only give first question answers.

Q: Evaluate the following integrals.

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Q: Evaluate the following integrals.

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Q: er sin(5x) dr :

A: Apply integration by parts ∫ udv=uv-∫vduLet u=e3x      du=3e3xdxdv=sin 5xdxv=-15cos 5xI=e3x -15cos…

Q: Evaluate the following integrals.  Z sin^6 (2x) dx

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Q: Evaluate the following integrals: (a) /sin°(2) dr tan (3r) dr (e) in

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Q: [ (2x+6)*dx 3.

A:

Q: Evaluate the following integrals.

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Q: Evaluate the integral of the following sin42xcos³2x dx

A: We will evaluate the integral.

Q: Evaluate the following integrals : 1 Vsin'xsin(x +a)

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Q: Evaluate the following integrals. Jo cos?

A:

Q: cosx dx sinx +1

A: SolutionGiven∫cos xsin x+1 dxwe need to find the integration of the above

Q: Evaluate the following integral. ex cos(x) dx

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Q: Evaluate the following integrals. 13 1 sin²x -dx

A:

Q: Evaluate the following integrals S²z sin³ x cos20 x dx 2

A: We have to evaluate the integral ∫-π2π2sin3x cos20x dx.

Q: Evaluate the following integrals.

A: The given integral to evaluate ∫π3π2sin2xesin2xdx     To evaluate this integral first substitute the…

Q: 1 8. 3 cosº x/2sinx

A: Integration of function expression under certain limits give the value of area between function…

Q: Evaluate the following integral sin(2z) dr.

A: Given query is to find the value of the integration.

Q: Evaluate the following integrals. (a) / ( + 3x) sin(z)da

A: a) The given integral ∫x2+3xsinxdx Use integration by parts, let 1st function be x2+3x and the 2nd…

Q: Evaluate the following integrals: i. Se- cos(20)de ii. dx Va+100

A:

Q: Evaluate the following integrals.

A: ∫esin-1x dx=∫esin-1x·1 dx=esin-1x·∫1 dx-∫desin-1xdx·∫1 dxdx   ∵∫u·v dx=u·∫v dx-∫dudx·∫v…

Q: 7/2 tan x dx 0,

A: We need to evaluate the integral:∫0π2tanx dx

Q: sin x+cosx dx sin x-cosx vi.

A:

Q: Determine the following integral by making an appropriatesubstitution.

A: Given∫cos3x2-sin3xdx

Q: Evaluate the following integral.

A:

Q: Evaluate the integral of the following. 1 | sec*-xtan* 1 2* dx

A: We will evaluate the integral as following.

Q: (12 3 sec* 3xdx 15.

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Q: 6 sec*x dx

A:

Q: tan 2x dx 2. S (3+ln cos 2x)6

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Q: sin x cos(2x) dx

A:

Q: Evaluate the following integrals. a)S sin 9+cos²0 de Coso x25-x2

A: see 2nd and 3rd or 4th step.

Q: Evaluate the following integrals.

A: It is given that, ∫sin 2x lnsin x dxWe have to evaluate it.

Q: Evaluate the following definite integrals using substitution: jx(1-6x* )'dx

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Q: Evaluate the following integral by using the substitution method sinyw dw

A:

Q: Evaluate the following integrals.

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Q: Evaluate the following integrals.

A: Our Aim is to integrate the following:-∫tan-1 (x3) dx

Q: 12. S cosh(5x – 7) dx

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

Q: arctan(3r) da =

A:

Q: sech x3 tanh x3 iii. S- dx

A:

Q: Evaluate the following integrals.

A: To Determine: Evaluate the following integrals. Given: we have ∫tan7x sec4x dx Explanation: we have…

Q: Evaluate the following integral by using the substitution method sinyw dw Vw

A: To evaluate the integral

Q: vi. Sz sin³ x cos20 x dx 2

A:

Q: Evaluate the following Integrals: 1. 6x² sin x³ dx

A: NOTE: As per our guidelines, I have solved the first problem in the picture.

Q: Evaluate the following integrals. S(sin(4x) + cosh(3x))dx

A: