Find the integral of sinx dx x – 7 8.

Q: Evaluate the integral. ∫ (x -1) Sinπ x dx

A: Let us assume u and dv

Q: 1 |x+1|dx -2

A: ∫-21x+1dx

Q: Find the integral of x^2 * cos(4x) dx.

A: To compute the indefinite integral.

Q: +1 dx. (x+3:2-5)3

A: To evaluate  ∫x2+1x3+3x-53dx

Q: Find the integral ∫ x+1 / (x−2)3 / dx.

A:

Q: Find the integral ∫dx / √1−2x−x2.

A:

Q: Evaluate the integral. ∫ x Cos 5x dx

A:

Q: Evaluate the integral. x sec2(8x) dx = +C

A:

Q: .2 x sin x dx -3

A:

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. x sec (9x) dx +C

A:

Q: Find the integral of dx Vx+1

A:

Q: Evaluate the integral. 1 -dx (x + 8)(x² + 9)

A:

Q: 1 dx x² – 4x + 4

A:

Q: Find the integral ∫ dx / x3+1.

A:

Q: Evaluate the integral. 3x/2 2|sin x| dx Jo

A: We have to evaluate given integral:

Q: Find the integral ∫ ((x^2)cosx)dx.

A: The given integral is,

Q: Evaluate the integral. ∫√(1 - cos x dx)

A: We have to evaluate the integral: ∫1-cosx dx We know the trigonometric identity:…

Q: Find the integral by using Beta function: S x*(1=Và)5 dx.

A:

Q: Find the integral. хебх dx (6x + 1)2

A:

Q: Evaluate the integral. S-x cos(3x) dx

A: Use integration by parts method

Q: Find the integral ∫dx / √(x2+1)3.

A: Let x = tanu Hence, √(x2+1)3 = sec3u dx = sec2u du

Q: Find the integral of 1 -dx 1+ sin x

A:

Q: Use U-substitution to find the integral: 2 1 dx

A: Given,          ∫1x22-1xdx

Q: Evaluate the integral. 1 x + dx J4

A:

Q: Evaluate the integral 6 dx (x+1) (x2+4)

A: Given,

Q: Ssin*(x)cos²(x)dx

A:

Q: Find the integral ∫dx / x−√x.

A: Here given Now

Q: 6. |dx x

A:

Q: Evaluate the integral + cosx x )dx

A:

Q: Evaluate the integral: 5x sec (x) dx +C

A: Recall: ∫u.v dx = u∫v dx -∫dudx∫v dxdx   ( Product rule of integration) ∫ sec2x dx = tan(x)+C…

Q: Find the integral ∫dx / (2x−1)(x+3).

A: We use partial decomposition

Q: Find the integral below: (x² + 1) dx (2х3 + 6х)

A:

Q: 1 dx x+Vx

A: Explanation of the answer is as follows

Q: Evaluate the integral ∫dx / 1+sinx.

A: We need to evaluate the following integral: Rationalize the denominator, we get :

Q: Evaluate the integral. 2n x sin(x) cos(x) dx

A:

Q: Find the integral of f(x³ + 1) Inx dx

A: Given :∫x3+1lnx dx

Q: Evaluate the integral. 'T/3 3 tan5(x) sec (x) dx

A:

Q: b. x° sin x dx .3

A:

Q: Evaluate the integral.

A: Evaluate the integral.

Q: dx J x(3vx+1)

A:

Q: Evaluate the integral. x sec (8x) dx + C

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Q: 3. Sxsin x dx

A: The given integral is ∫xsinxdx. Evaluate the integral value.

Q: x cos 5x dx

A: The integral is evaluated in detail below.

Q: Find the integral ∫dx / sinx+cosx+1

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Q: 1 * dx 1+csc x

A:

Q: 1 dx 1+ 3x x2

A:

Q: Find the integral. J (x³ + 4x– 3) dx

A:

Q: 0. (7x + 10e") dx 1.

A: