Find the following integrals: sin x (i) [sin' x cos? x dx dx sin (x+ a) (ii)

Q: Find the indefinite integral. (Use C for the constant of integration.) tan5 dx sec x

A: We have to find the integral of the given expression   The expression is   ∫tan5xsec8(x)dx

Q: Find the general indefinite integral. (Use C for the constant of integration.) (3 sin(x) + 7…

A: Consider the integral

Q: Find the indefinite integral. (Use C for the constant of integration.) 3 sin 3x dx

A: The integral is ∫ 3sin3xdx By using the constant-multiple rule, ∫ c f(x) dx =c∫f(x) dx Here c = 3 ∫…

Q: Evaluate the integral. (Use C for the constant of integration.) (8x + 7 sin(x))? dx

A: Answer is given below....

Q: Find the indefinite integral using the substitution x = 3 sin(0). (Use C for the constant of…

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Q: Find the indefinite integral. (Use C for the constant of integration.) | (2 cos x + 9 sin x) dx

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Q: Find the indefinite integral using the substitution x = 3 sin(0). (Use C for the constant of…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) ∫(sin…

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Q: Find integral of sin^2 (x/2) dx with bounds of 0 to pi

A: Find the integral of sin^2 (x/2) dx with the bounds 0 to π.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos x dx (sin x)24

A: Given ,  the indefinite iintegral  I= ∫cosxsinx24 dx  Let sinx = z  cosx dx = dz  I =∫dzz24 I =…

Q: Evaluate the definite integral. ∫0 π/2  Cos x Sin (Sinx) dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) (sin(x) – 4 cos(x)) dx

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Q: xe2X sin(e)dx 2x2

A: As per guideline we have to solve only one

Q: Find the indefinite integral. (Use C for the constant of integration.) sin 4x sin 3x dx

A: We know sin A·sin B=12cos(A-B)-cos(A+B) ∫cos ax dx=sin axa+C  where C is constant of integration.

Q: Find the indefinite integral. (Use C for the constant of integration.) (4 cos x + 7 sin x) dx

A: Given the integrationI=∫(4cosx+7sinx)dx

Q: Use integration by parts to evaluate the integral sin(10x)/e^2x dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 1 sin dx

A: Let I=∫sin1x6x7dx

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) (4). 1 sin dx

A: Indefinite integral

Q: Find the indefinite integral. (Use C for the constant of integration.) sin 5x sin 4x dx

A:

Q: Find the integral of sin(8x)sin(x)dx

A: on doing integration

Q: Find the indefinite integral using the substitution x = 4 sin(0). (Use C for the constant of…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration. sin(2x) sin(cos(2x)) dx

A: To evluate: I=∫sin(2x) sin(cos(2x)) dx...(1)

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | sin(76) sec (cos(7)) dt

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 10 sin(2x) dx 1 + cos“(x)

A: Answer is -10arctan(cos^2x)+C.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(x) sin20(x) dx

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Q: Find the indefinite integral ∫ sin x/√cos x dx

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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: Find the indefinite integral. (Use C for the constant of integration.) S sin(3æ) sin(2x)da O +(3…

A: we have to use  2sin A sin B = cos(A-B)-cos(A+B) And solve the integration.

Q: Find the indefinite integral. (Use C for the constant of integration.) (8 cos x + 7 sin x) dx

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Q: Find the general indefinite integral

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Q: Use integration tables to find or evaluate the integral ∫ 1 / sin   x cos   x dx

A: We have to evaluate the integral: ∫1sin x cos xdx We know the identity: sin2x+cos2x=1 Substituting…

Q: Evaluate the integral.  integral sin 6  x cos 5x dx

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Q: Find the indefinite integral. (Use C for the constant of integration. tan(x) cos(x) dx

A: Given,            ∫7tan xlncos x dx

Q: TC 4. sin(2x) cos(2x) dx

A: To evaluate the definite integral

Q: Evaluate the integral. (Use C for the constant of integration.) 9 cos5(x) sin*(x) dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(x)/sin^20(x)    dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin (x) cos(x) dx

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Q: Use integration by parts to evaluate the definite integral. e2x sin x dx

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Q: Find the general indefinite integral. (Use C for the constant of integration.) sin 2x 9. dx sin x

A: Explanation of the answer is as follows

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 5 sin(3x) sin(6x) dx

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Q: Find the general indefinite integral.

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(x) sin 1 (x) xp

A: ∫cosxsin16x dx

Q: Evaluate the integral. (Use C for the constant of integration.) 9 sin(2x) dx 1 + cos“(x)

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Q: Find the indefinite integral. (Use C for the constant of integration.) (5 cos x + 7 sin x) dx

A: ∫5cosx+7sinx dx∫5cosx dx+∫7sinx dx

Q: Find the indefinite integral using the substitution x = 5 sin(0). (Use C for the constant of…

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin x dx 3 + cos x

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Q: Evaluate the integral. (Use C for the constant of integration.) cos(x) (4 + 8 sin²(x)) dx

A: Solve the intregal

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(6x) sin(cos(6x)) dx

A: In this question we have to evaluate the integral.

Q: Find the indefinite integral. (Use C for the constant of integration.) sin(2x) cos(2x) dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(2x) dx 46 + cos?(x)

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