Evaluate the integral. ∫0pi 9sin^2(t)*cos^4(t) dt

Q: x3 . In x dx

A:

Q: Use integration tables to find or evaluate the integral.

A: We have to evaluate the integral: ∫x4+5x2dx Assuming, t=4+5xx=t-45 Differentiating,…

Q: Evaluate the integral. .5 3 cosh(t) dt 0.

A: Solution

Q: Compute the integral by rewriting the integrand: Integral of (1 divided by x7 times the square root…

A: Please refer to the image below

Q: Use integration by parts to evaluate the integral: In(s)ds

A: Given, To Evaluate

Q: I.Evaluate the ff. iterated integrals.

A: Given that: ∫36dyy3y2-9

Q: Evaluate the integral. 5 cosh(t) dt

A:

Q: Evaluate the integrals ∫2tan x sec2 x dx

A: Now put

Q: Evaluate the integrals using integration by parts. ∫x ln x dx

A: Here given integral as Use the formula of integration by parts which states

Q: Evaluate the integrals using integration by parts. ∫ (x + 1)2ex dx

A:

Q: x sec (3x) tan (3x)dx

A: We use integrate by parts to solve the given integral.

Q: Calculate the integral ∫dx / asinx+bcosx.

A:

Q: Evaluate the integrals using integration by parts. ∫ ln (x + 1) dx

A:

Q: 37. x² In x dx

A: To evaluate the integral ∫1e2 x2 ln x dx using integration by parts.

Q: Use the properties of integrals to verify that 2 < (', VT+x² dx = 2/7 without evaluating the…

A: Please examine the graph of (1 + x2)1/2 below:

Q: Evaluate the integrals using integration by parts. ∫xex dx

A:

Q: Evaluate the integrals using integration by parts. ∫x3ex dx

A: We have to integrate, ∫x3exdx Integration by parts is used as following ways: We know that if…

Q: Verify Green's Theorem by evaluating both integrals

A:

Q: Evaluate the integral. In x3 dx 15)

A:

Q: / (In z)*dz. Evaluate the integral

A: Here we will use integration by parts repeatedly.

Q: x sec (3x) tan (3x)dx

A: The given integral is ∫xsec3xtan3xdx. We know the integration by parts formula:…

Q: Evaluate the integral using integration by parts. 2xe3* dx

A:

Q: find the integral of - de

A: Here i have append the basic formula in the solution part.

Q: Which one is an improper integral?

A:

Q: Evaluate the integrals

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: -dx

A:

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: Calculate the integral ∫coshx / 2+3sinhx /dx.

A:

Q: Evaluate the integrals using integration by parts. ∫x3 ln x dx

A: the given integral is: ∫x3lnx dx we have to evaluate the integral using integration by parts. lnx is…

Q: Evaluate the integral. In (3x) dx 69 In (3x) dx

A:

Q: Find the integrals using integration by parts. b. [ Vx In /xdx

A: Consider the given: ∫xlnxdxIntegration by parts:∫udv=uv−∫vdu

Q: Solve the integral of arcsin(x) using integration by parts.

A: Given as

Q: –6x-'dx

A: Follow the procedure given below.

Q: Use a double integral to find the

A: We have to find the volume using double integration according to the given information

Q: Evaluate the iterated integrals

A:

Q: In xdx

A: Formula:Integration by parts:∫ uv dx =u∫v dx -∫ dudx∫vdxdxI=∫ x5 ln x dxu=ln x, dudx=1xv=x5I=ln x ∫…

Q: Evaluate the integrals using integration by parts. ∫4x sec2 2x dx

A: Given integral is I=∫4x sec2(2x)dx

Q: Find the integral of the Ponction fiyリ=

A: Introduction: The process of determining the area of the region under the curve is known as…

Q: Evaluate the integrals.

A: Evaluate, ∫22dxxx2-1dx

Q: Compute the integral ∫ex/2dx.

A:

Q: find the double integral Is 2. 3. yoa yatı

A:

Q: 3. 4 dx Зx/10In(3x) — (In(3x))2

A:

Q: HEvaluate the integral 3 In

A: Given

Q: Calculate the integral of - e2x -dx. 3x +8

A:

Q: Evaluate the integrals using integration by parts. ∫ x2 ln x dx

A:

Q: Evaluate the integral S(VE + vaj*dx; ais constant

A: Explanation of the answer is as follows

Q: 3. x+1 dx

A: let I=∫5x32x+1dxput 2x+1=u2x=u-1x=(u-1)2and  2x+1=udifferentiate w.r.t.…