3- Evaluate the integral sin(In x)dx

Q: Evaluate the integral. sin dx Se √1-x² 2

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Q: Evaluate the integral.  integral  2x sin  2 x x dx

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Q: Find the indefinite integral.

A: I  = ∫x sin (3x2) dx          ut    3x2 = t                6x dx = dt              xdx = dt6

Q: Evaluate the indefinite integral. sin(x) cos(9x) dx = +C

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Q: Evaluate the integral.

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Q: Evaluate the integral: integral from 0 to Pi/2 of cos^3(x)*sin^(2/3)(x)dx

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Q: Evaluate the integral n/2 sin x cos x dx

A: This integral can be solved by the general formula of integration.   Integral ( 0 to Pi/2) sin^mx *…

Q: evaluate the integral: integral of 8x*sin^2(x)dx

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Q: [(x-1)sin zxdx

A: Given:  Let I=∫x-1sinπx dx To Find: To evaluate the given integral.

Q: Evaluate the integral. ∫0 π/2  Sin2 x Cos 2 x dx

A: Consider the given integral as Use the identity to solve the integral such that

Q: Evaluate the integral [ ª sin(tan x) dx cos² x

A: Given- ∫sintanxcos2xdx To find- The value of the above integral. Concept Used- The above integral…

Q: Evaluate the definite integral. 1 cos (тx) dx

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Q: Evaluate the definite integral. sin x dx -dx J12 I+cos² x

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Q: Evaluate the indefinite integral. dx + C

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Q: dx 2+2 sinx + cos x

A: Given that the integral ∫dx2+2sinx+cosx. Evaluate the given integral. Formulae used:…

Q: : Evaluate the integral sin x cos x dx

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Q: Use geometry to evaluate the definite integral -2∫2 √4−x2 dx

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Q: Evaluate the integral.  integral  cos 2 x tan 3 x  dx

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Q: Evaluate the indefinite integral.

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Q: x sin¬1 x² dx

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Q: sin x dx 1-cosx

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Q: Evaluate the integral. sin dx 2 1-x

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Q: xe2X sin(e)dx 2x2

A: As per guideline we have to solve only one

Q: Evaluate the indefinite integral: ∫ x2 sin(x3 + 1) dx

A: ∫x2sinx3+1dx

Q: Evaluate the integral.

A: We have to evaluate the integral: ∫1-sinxcosxdx We will use following special integration formula:…

Q: Evaluate the integral x² tan-x dx

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Q: Evaluate the integral I sin(x)e-" dx.

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Q: Evaluate the integral ∫(cos x) esin x dx

A: Consider the following integral: ∫cosxesinxdx Substitute sinx=p→cosxdx=dp in the above integral:…

Q: '1+ sin x t00 dx x2

A: Given:       ∫π+∞1+sinxx2 dx

Q: /2 cos x -dx- 1+(sin x)? Compute the integral

A: Consider the following definite integral: ∫0π2cosx1+sinx2dx Substitute sinx=u→cosxdx=du in the above…

Q: Evaluate the integral.  integral  (1- sinx )/ cos x  dx

A: ∫1-sinxcosx dx

Q: Evaluate the integral of (x^2)sin(x^2) dx as an exact answer.

A:

Q: Evaluate the integral sin (x) cos (x) dx

A: Solve by integration

Q: Use U-Substitution to evaluate the indefinite integral. S(5x + 2)?dx S 2x sin(x²) dx

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Q: Evaluate the integral. integral 0  to pie /2    cos x + sin x dx

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Q: Evaluate the integral.  integral sqrt   1/ cos x + 1   dx

A: Given:∫1cosx+1 dx

Q: Evaluate the definite integral. 5 sin (z) cos(x)dx 0.

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

Q: cos (x)sin(x)dx

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Q: Evaluate the indefinite integral: cos° x sin x dx

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Q: evaluate the definite integral.

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Q: Evaluate the integral [x x cos x dx

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Q: Evaluate the integral: S sin x In(sin x) dx

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Q: Evaluate the definite integral. dx x(1+ In æ)

A: Explained below

Q: Evaluate the integrals. ∫(tan-1 x)5/(1 + x2) dx

A: We have to evaluate the integral: ∫tan-1 x51+x2dx This integral will be solved by substitution…

Q: Evaluate the integral ( sin(In(2+2x)) x+1 dx

A: Given: ∫sinln2+2xx+1dx

Q: Find the general indefinite integral.

A:

Q: Evaluate the definite integral: 1 dx 2. x· COS

A: Solution

Q: Evaluate the integral - dx · 1- sin x cos X

A: The given integral,       ∫cos x1-sinxdx

Q: (sin-l x)² dx V1-x²

A:

Q: Evaluate the integral. 6 sin -1 x dx

A: Given problem:- ∫ 6sin-1(x) dx