Find the indefinite integral z/4+z'dz.

Q: dz 2+2vz

A: The given integral,       ∫dz2+2z

Q: Calculate the integral in terms of the inverse hyperbolic functions.

A: To make the answer in inverse hyperbolic form, do the following substitutions. Substitute x=sint in…

Q: @ evaluate the indefinite integral fxº ex* dx

A: Given problem:- ∫ x8 ex^9 dx

Q: Find the indefinite integral: [Inx)" dx

A: Simple integration problem.....

Q: Evaluate the indefinite integral. dx 2 5x

A: We have to find given integral.

Q: In(x) dx =

A: To find:∫lnxx5dx

Q: Evaluate the indefinite integral. V 16 +x² dx %3D to

A: We need to integrate ∫16+x2x4dx

Q: evaluate the integral from 1 to 3 of 4/x^3 dx

A: Given: ∫134x3dx

Q: | V5x-4 dx

A:

Q: Evaluate the integral of x sin x² dx from x = 0 to x = VT.

A: Given,         The integral of xsinx2dx from x=0 to x=π .

Q: Evaluate the integral. 1. dx 1

A:

Q: dx Evaluate the improper integral if it exists

A: The solution is given as follows

Q: Evaluate the improper integral 1 dx x - 1

A:

Q: Find the integral

A:

Q: Consider the indefinite integral 4 dx

A: Given,           ∫44+exdx

Q: Evaluate the integral In x dx

A:

Q: 12) S (z* + 2x + 1) dx 3 х2 + 2х +

A: Integration

Q: Evaluate the integral, if it exists.

A: Given: I=∫04x-1dx for evaluate given integral, we break it in two parts as given below…

Q: Evaluate the integral from [1, e^3] ln^3(x^2) / x  dx

A:

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

A: Use integration by parts method

Q: Find the general indefinite integral using definition. х5 + 3х — Vx + dx X.

A: we need to evaluate the integral,∫x5+3x-x+1x dx

Q: Evaluate the indefinite integral: 3 dx J x In(5x)

A:

Q: fxVx+5 dx :

A:

Q: Evaluate the integral. inegral x4 /(x-1) dx

A: Given: ∫x4x-1dx

Q: Find indefinite integral.

A: ∫5lnz+3z dz Put, 5lnz+3=t⇒5·1z+0=dtdz⇒1zdz=dt5

Q: Evaluate the integral, if it exists: +z sinx dx z-

A: We will evaluate the integral if it exists in the following step.

Q: Evaluate the integral

A: The integral is given by,

Q: Vcosh² y – 1 dy

A: consider I=∫cosh2y-1 dy

Q: 2te dx

A: Indefinite integral

Q: Evaluate the integrals.∫x2 cos x3 dx

A: We have  I=∫x2cosx3 dx                          ⋯⋯(1)   Let  x3=t3x2du=dtx2du=dt3 put in equation…

Q: Determine the indefinite integral J csch 2x dx.

A: To evaluate: ∫csch2xdx Let t=2x dtdx=2dt=2dxdt2=dx Integrating the given integral.…

Q: Compute the indefinite integral 2. 4e2a + 6x 5) dx. - -

A:

Q: Evaluate the definite integral using integration by parts.

A: Recall the following fact.

Q: 3 dx ° (x+2)/x+1

A:

Q: Evaluate the indefinite integral. VA + a*dz ,5, + C

A:

Q: Find the indefinite integral z(3 +z) dz.

A:

Q: [(2x-1)"dx

A: Here we have to find the given value of the integration: ∫2x−110dx

Q: Compute the given improper integral. Enter the exact value of the answer. 1 /x² 400 29 So - dx =

A:

Q: Evaluate the indefinite integral. V6 + x°dx + C

A: Evaluate ∫x56+x6dx

Q: Evaluate the indefinite integral. V8 + x°dx + C

A: topic - indefinite integral

Q: Consider the indefinite integral dx: + 8)°

A: Given,  ∫ x5x6+86dx

Q: Evaluate the indefinite integral.

A: Consider the provided integral, ∫z21+z33dz Evaluate the indefinite integral.  Apply the substitution…

Q: + 3x dz. x2 + 1

A:

Q: Evaluate the integral. integral    0 to 1     x  / (x  2 + 4   x  + 13 ) dx

A: Given integral is ∫01xx2+4x+13 dx. ∫01xx2+4x+13 dx=∫01xx+22+9 dx

Q: Find the indefinite integral.

A:

Q: ) Find the general indefinite integral. 9 +Vx + x xp

A:

Q: Use property 8 to estimate the value of the integral 1,12 15/0 - 58 a dx.

A:

Q: Evaluate the following indefinite integrals. 1 4x + Vx + dx ,3 (a) -

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the indefinite integral r 2(In(x))³ dx .

A: In some cases an indefinite integral can be simplified to a standard integral using an appropriate…