Evaluate the integral e^2x sin(4x)dx from 0 to pi.

Q: Evaluate the indefinite integral. 3x sin(4x)dx

A: The given integral,      ∫e3xsin(4x)dx

Q: Find the integral. er sin(5x)dx - IT

A: Known integral formula:

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

A:

Q: Find the integral ∫dx / 1+coshx.

A: We write the function using ex

Q: Find the integral ∫dx / sinhx−coshx.

A: We use the exponential forms of sinhx and coshx

Q: fx sin(5x)dx

A: use integration by parts take

Q: Evaluate the integrals ∫sec2 x tan2 x dx

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

A:

Q: Evaluate the indefinite integral: ∫ sec2(4x + 9) dx

A: Given: ∫sec2(4x+9) dx

Q: What is the integral of cosh4x*sinh5x?

A:

Q: Evaluate the integrals ∫sec6 x dx

A:

Q: Je* sin 2x dx cos xdx S (3-cos²x-3 sin x)

A:

Q: calculate the integral.

A:

Q: 13) SVx? dx

A: As per guidelines we can solve the first question only. If you need more answers please repost the…

Q: Find the indefinite integral of (1+sinx/cos2x) dx

A: We have  I=∫1+sin xcos2x dxI=∫ dx+∫sin xcos2x dx   Substitute  cos x=t sin x dx=-dt

Q: Find the indefinite integral. ∫(sec 2x + tan 2x) dx

A:

Q: evaluate the definite integral from [0,pi] [(sinx)2(cosx)4]

A: To integrate the definite integral

Q: Use the tabular method to find the indefinite integral. ∫x3 cos 2x dx

A:

Q: Evaluate the indefinite integral: ∫(θ + sec2 θ) dθ

A: Our Aim is to evaluate the indefinite integral given below:-∫θ+sec2 θ dθ  -(i)

Q: Find the indefinite integral ∫sec6 4x tan 4x dx

A:

Q: tanx dx 2

A: =?

Q: Find the indefinite integral ∫tan3 x/2 sec2 x/2 dx

A: we have to find the value of indefinite integral  ∫tan3x2sec2x2dx let the given indefinite integral…

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

A:

Q: Evaluate the integral.  integral  sec 5 x  tan  4 x  dx

A: Integration:                    ∫sec5(x)tan4(x)dx                    Solving using Trigonometric…

Q: Evaluate the indefinite integral given below. 12 sin (2x) dx V1– 4x2 -

A: Given Data The integral is ꭍ-12sin-1(2x) dx /√(1-4x²).   Let,

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

A: on doing integration

Q: Use integration by parts to solve the indefinite integral of [sin5xcos3x]dx

A:

Q: Evaluate the integrals ∫(sec2 x) etan x dx

A: Evaluate: ∫sec2xetanxdx

Q: sin x + 10(csc x)² dx

A: To compute: ∫(sin x+10(csc x)2)dx

Q: Find the indefinite integral ∫sec2 (x/2) tan (x/2) dx

A: Given: I=∫sec2x2tanx2dx

Q: 1-sin 2x dx 2 x-sin x

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Evaluate the integrals ∫sin5 x dx

A: Consider the following integral: I=∫sin5xdx Substitute 5x=t→5dx=dt→dx=15dt in I:…

Q: Find the indefinite integral for

A: The indefinite integral ∫-sinx+3cos-3xdx ∫(−sin(x)+3cos(3x))dx

Q: Evaluate the integrals ∫sec4 x tan2 x dx

A: Given: ∫sec4xtan2xdx

Q: Evaluate the integral. 10 3e -10 sinh(x) cosh(x) dx

A: We use Hyperbolic definitions of sinh(x) and cosh(x). Used that to simplify sinh(x)+cosh(x).

Q: sec dx Eanx

A: Given

Q: Evaluate the integral of sin(4x) cos(3x) dx

A: We have to use 2sinAcosB= sin(A+B)+sin(A-B) formula to simplify first.

Q: Use integration by parts to find the indefinite integral ∫e2x sin 3x dx

A: Let  I=∫e2x sin 3x dxBy using the  Integrating by parts…

Q: Evaluate the integrals ∫sinh 2x dx

A: Given: ∫sinh2xdx

Q: Evaluate the integral:∫sin3x dx.

A: The given integral is ∫sin3x dx

Q: S sin(2x) dx

A:

Q: Find the indefinite integral ∫sec 4x dx

A: the given indefinite integral is: ∫sec4x dx we have to find the value of the given indefinite…

Q: Use integration by parts to evaluate the integral. sin(In(5x))dx

A:

Q: Find the indefinite integral of Jsec²x tanx√1 + tanx dx. 22/2

A:

Q: 1 dx. cosh x

A: Rewrite the integral and using substitution method, we calculate the given improper integral.

Q: Evaluate the integrals ∫sin3 x cos3 x dx

A:

Q: [sin(√5x+1)dx

A: Note: As per our company guidelines we are supposed to answer the first question. Kindly ask the…

Q: Evaluate the indefinite integral: S (sec²x+ +) dx x2+4

A: We will solve the problem.

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

A: