cos®xdx CoS Xx, 0.

Q: Evaluate the integral ∫cos5xdx.

A:

Q: Evaluate the iterated integral: a S " cos(2) dy dar.

A: Given that the double integral

Q: Evaluate the integral  dx*(csch(3x))^2

A:

Q: Evaluate the integrals ∫sin4 2x cos 2x dx

A: I=∫ Sin4 2x Cos 2x dxLet Sin 2x=t2 Cos 2x dx=dtCos 2x dx=dt2

Q: x cos TX dxr Jo

A:

Q: Evaluate the iterated integral: a " cos(2) dy dar.

A: The iterated integral is given as:…

Q: Evaluate the integral 18x dx. 64-x2 A 114 tan-) - 9x/64-x² + c 576 tan-) - 9x64-x + C 114 sin-) -…

A: To calculate the integral

Q: .3 S cos³xVsinx dx

A:

Q: Evaluate the integral 72dx / 1-cos(9x)

A:

Q: Evaluate the integral: CT/2 cos² (4x) sin³ (4x) dx.

A:

Q: evaluate the integral 6x cos (5x) dx

A:

Q: 1 x² cos(x³) dx CoS

A:

Q: 6z* cos (r*) dr-

A:

Q: Evaluate the integral: 2 So sin(4t - u) du dt

A:

Q: cos7xcos3xdx

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: Compute the integral ∫cos2xdx.

A:

Q: -1 tan 2y dy

A:

Q: Evaluate the integral ∫dx / 1+cos2x.

A: Recall cos2x = 2cos2x - 1 hence, 1 + cos2x = 2cos2x

Q: Evaluate the integral 9t tan (1) dt

A:

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

A:

Q: At the point of discontinuity on (0, co), the Fourier Cosine integral corverges to: f(x+) – f(x¯)]…

A: We have to solve given problem:

Q: 1+cos 4x dx 1-cos 4x 10.

A: Evaluate integral

Q: Compute this integral ∫ (xsin^2(x)cosx) dx

A: We use integration by parts

Q: Evaluate the integrals ∫et cos (3et - 2) dt

A: We have to evaluate the integral: ∫et cos3et-2dt In this case we should use substitution method…

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: cos 3x cos 4x dx

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

Q: Use the tabular method to evaluate the integral fa (x³ + 2x-1) cos(4x)dx COS

A:

Q: Evaluate the integrals ∫8 cos4 2px dx

A: To evaluate: ∫8cos42πxdx Let t=42πx dtdx=42ππdt42π=dx Putting the values, we get…

Q: evaluate the integral (Usec. af nitegratun) for the constant बदेशव 1ehan) 5x cos (8x) dx

A: Given

Q: Evaluate the integral/ cos'x sin x dx using the substitution u = cos x. cos"x sin x dx =

A: ∫cos11xsinxdx

Q: cos'xsin*xdx IN

A:

Q: Evaluate the integral: f/2 sin(4t-u) du dt

A: To evaluate: ∫π2π∫0tsin(4t-u) du dt

Q: Evaluate the integral Jx* cos 7x dx

A:

Q: Evaluate the integrals ∫cos 3x cos 4x dx

A: Evaluate ∫ cos 3xcos 4xdx

Q: Evaluate the integral. Tt/3 Jo sin 3x) dx

A:

Q: sec®3xtan3x dx

A:

Q: Evaluate the integral of cos^2 ydy

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

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

A: Evaluate: ∫cos32xsin52xdx

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

A: Given: ∫sinln2+2xx+1dx

Q: Evaluate the integral sec2 2x tan 2ædx

A:

Q: /2 etan y sec y х cos" ydxdy

A:

Q: /2 12 (siny kpxp

A:

Q: cos ) ydydx sin

A:

Q: Use residues to evaluate the integral 2T 1 de. %3D 5+3 cos 0

A: To evaluate : ∫02π15+3 cos θdθConsider unit circle |z|=1i.e. z=eiθ⇒dθ=dzizAlso, we use cos θ=z2+12z,…

Q: Use the calculus of residues to evaluate the improper integral COSX -dx. (x²+1)³

A:

Q: Evaluate the integrals. ∫cos3xdx

A: The given integral is, ∫cos3xdx The objective is to solve the integral.