sin 3xdx Evaluate: S 4+cos?3x

Q: 5) find the integral J8 sin 2x * cos2x dx

A: see below the calculation and answer

Q: Evaluate the integral. 17) S sin (3x - 2) dx

A: From the given problem:   I=∫ sin3x-2dx..(1)   Let,   u=3x-2   Now differentiate with respect to x:…

Q: Evaluate the integrals ∫sin 3x sin 3x dx

A:

Q: sin 0 -do 4+cos 0 Evaluate

A: Since 4+cosθ is never zero in 0 to 2π as -1≤cosθ≤1. So, 3≤4+cosθ≤5 So, sinθ4+cosθ is analytic in 0…

Q: evaluate the indefinite integral.

A:

Q: Use integration by parts to show that, for n > 2, 1 cos a sin"-1 n 1 sin"-2 xdx. n - sin" xdx = x +…

A:

Q: 5tan 2x -dx sin²2x-1 8.

A: Put tan2x=t and using integration of ax dx =ax /loga

Q: sin-3/2x cos³x dx

A: Given integral

Q: Evaluate the integral ∫sin x/4 cosx/3dx.

A:

Q: Use reduction formulas to evaluate the integrals ∫ sin2 2θ cos3 2θ dθ

A:

Q: Evaluate the integral -4 sin(5x) sin(2x) dx

A:

Q: What substitutions are made to evaluate integrals of sin mx sin nx, sin mx cos nx, and cos mx cos…

A:

Q: Evaluate the indefinite integral.  ∫sin(3x)cos(6x)dx=________________ +C

A:

Q: Evaluate the integral. 9-sin 8x dx

A: To evaluate the integral

Q: Evaluate the integrals. ∫sin 2x/(1 + cos2 x)dx(Hint: sin 2x = 2 sin x cos x.)

A: We have to evaluate ∫sin2x1+cos2xdx We know that sin2x=2sinxcosx So, the given integral can be…

Q: sin xv1 – cos xdx

A: Explanation of the answer is as follows

Q: [ sin³(2x) dx

A:

Q: What is the integral of sin^4(x)cos^3(x)

A:

Q: Evaluate the integrals ∫sin 2x cos 3x dx

A: We have to evaluate ∫sin2xcos3xdx. We know that 22sinA cosB=sinA+B+sinA-B Therefore,…

Q: Evaluate the integrals ∫8 sin4 x dx

A: We have to evaluate ∫8 sin4x dx Let substitute t=4x Differentiating both sides with respect to x,…

Q: Evaluate the integral 1—е-4а sin x cos 3xdx

A:

Q: Evaluate the integrals for 16 sin²x cos²x dx

A: ∫16sin2xcos2x dx=∫4(4sin2xcos2 x) dx                                 =4∫(2sinxcos x)2 dx…

Q: Evaluate the integrals below: 2 cos2x а) sin2x. [In(sin2x)]? + sin2x .dx, b) хе^.dy

A: We have to evaluate the following integrals,

Q: sin x + 10(csc x)² dx

A: To compute: ∫(sin x+10(csc x)2)dx

Q: sin(34x) dx 1 + cos-(34x)

A:

Q: Evaluate the integral S cos ³ x + 8 sin x cos³² x + 6s in ² x dx; cosx #0 2 cos²x

A:

Q: Find the indefinite integral. sin3 70 V cos 7e de

A:

Q: Evaluate the integrals ∫sin2 2θ cos3 2θ dθ

A: Given:∫ sin22θ cos32θ dθ

Q: Evaluate the integral ∫cos√θ/ √θ sin2 √θ dθ

A: We have to evaluate the integral: ∫cosθθ sin 2θdθ We know the trigonometric identity, sin 2A=2sin A…

Q: cos 3x cos 4x dx

A: ∫cos3xcos4xdx here we use formula  2cosxcosy = cos(x+y) +cos(x-y) here x = 4x      y = 3x

Q: Evaluate the integrals. ∫x sin x2 cos8 x2 dx

A: Given,         ∫xsinx2cos8x2dx

Q: evaluate the definite integral.

A:

Q: 2. sin xcos³xdx

A:

Q: Evaluate the integrals ∫16 sin2 x cos2 x dx

A:

Q: Evaluate the integral cos3 x + sin? х+1 dx cos² x (sin² x + 1)

A:

Q: Find the indefinite integral ∫ cos2 x sin4 x dx

A: Given: I=∫cos2xsin4xdx we know that ∫sinnxdx=n-1n∫sinn-2xdx-cosxsinn-1xn                   ..1

Q: Evaluate the indefinite integral. ∫cos(2x)(9−sin(2x))^(1/2)dx

A: Given:

Q: d) S tanrd. cos³x

A:

Q: Evaluate the indefinite integral sin2 x cos x cos xdx =

A:

Q: Evaluate the definite integral 15 sin (3x) cos(3x) dx

A:

Q: Evaluate the integral. ∫0 π/2  (2- sinθ)2dθ

A:

Q: Find the product of the integral ri sec²(cos(x))dxdy sin-y

A: Given ∫01∫sin-1yπ2sec2cosxdxdy

Q: Evaluate the integrals ∫cos3 2x sin5 2x dx

A: Evaluate: ∫cos32xsin52xdx

Q: Match the integral expression on the left to an equal expression on the right. cos(7x))dx + cos…

A:

Q: Evaluate the integrals ∫sin3 x cos3 x dx

A:

Q: Evaluate the indefinite integral sin5 s cos sds %3D

A:

Q: cosxdx sinx+sin³x

A:

Q: cos ) ydydx sin

A:

Q: Use a computer algebra system  to find  integral sin 5 x cos 2 x   dx

A: To find the integral