b) Evaluate the integral In 5 (x + 1)²e* dx

Q: 1. Evaluate the integral using integration by parts 75/2 In x dx

A: The formula for integration by parts is Let, That implies,

Q: a) Evaluate the Rollowing integrals 2) sinrde 3)

A: Answer and explanation is given below According to guidelines,i will provide answers of first three…

Q: Evaluate the integral of ((x dx) / (x + 1)^8) from 0 to 1.

A:

Q: Compute the integral dx.

A: As we know that ∫xmdx=xm+1m+1+C see below the answer and calculation

Q: Evaluate the double integral of cos(x) with x from 0 to π/4 and y from 4y to π

A:

Q: Evaluate the integrals using fundamental theorem. | (2 sint – 24) dt

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Q: dx Evaluate the improper integral x(In x)?

A:

Q: Compute the integral x 2 dx.

A: In this question we will use basic of calculus i.e concept of integration. We will use simple basic…

Q: x cos TX dxr Jo

A:

Q: e2 In(x) da

A:

Q: 9. Find the integral, using u substituti x-(1-3x²)*dx a.

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: evaluate the integral (In (X )Ć dx X3

A:

Q: 8 Evaluate the integral: In 3x dx A. In 3 + C C. +C (In 3x) 1 D. (In 3x) + C В. + C

A:

Q: Evaluate the derinite Integral. #5 In(x) dx

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Q: dx Evaluate the improper integral if it exists

A: The solution is given as follows

Q: -1 tan 2y dy

A:

Q: Find the integral. J 3 x√9 - (In x)² + C dx

A:

Q: 2. Compute the integral dy dx by interchanging the order of integration.

A: Order of change of integrals

Q: u. x + 3 2x³ - 8x -dx

A:

Q: Evaluate the iterated integral. 1₁1²₁1x². (x² - y²) dy dx

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Q: Compute the integral: -3 dz (z – 2)*

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

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Q: fxVx+5 dx :

A:

Q: Consider the integral 1 -9 In(x) dx If the integral is divergent, type an upper-case "D". Otherwise,…

A:

Q: Evaluate integral of dx/x+2 from -6 to -10 Choices: •In 2 •In 3 •21/3 •1/2

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Q: Evaluate the integral 1 -dx. 2Va(x + 1)

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Q: dx x2 -1

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Q: Evaluate the im proper integral dx 3 (5-2)

A: Given integral is: I=∫05dx(5-x)3 Let us assume f(x)=1(5-x)32 Here x=5 is the point of infinite…

Q: (d) Prove that 1-cos 2x dx is divergent. Hint: Split the expression inside the integral into two…

A: Integral is converges or divergence

Q: Evaluate the improper integral 1). Sa -2* 2 dx x2-2x

A: Given: ∫3∞2x2-2xdx We have to evaluate the improper integral.

Q: Evaluate the integral. dx J2 (x² – 1)3/2 -Csc O

A:

Q: Evaluate the integral.

A: To evaluate ∫1x3-1dx

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

A: It is given that,∫ln2x+1 dx We have to evaluate it.

Q: 15 Evaluate the improper integral J. (x- dx

A: Note: We are authorized to answer one question at a time, since you have not mentioned which…

Q: Can i get help step by step with this problem?

A: We need to evaluate the value of the given integral

Q: 2. Use reduction formula to evaluate the integral: fsins x dx.

A: Reduction formula

Q: In Vi - dt 3t (b)

A: ln(a)b= b ln(a)

Q: Use the form of the definition of the integral given in Theorem 4 in section 5.2 to evaluate the…

A: First integrate the function x2+7 with respect to x using the power rule of differentiation.

Q: Evaluate the integral. inegral  ax / (x2 - bx ) dx

A: Consider the given integration as I=∫axx2-bxdx⇒I=∫ax-bdx

Q: Use a Table of Integrals to evaluate the integral. 2xdx J(x² + 2)ln(x² + 2)

A:

Q: Can i get help with this problem step by step?

A: To evaluate the below integral

Q: Evaluate the iterated integral. In 4 In 3 4x+ 2y dy dx 0 1

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Q: Evaluate the integral. . 4 1) x In 2x dx 1

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Q: 1 -) Prove the existence of the improper integral 1 (In x) sin – dx -

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Q: 3. 4 dx Зx/10In(3x) — (In(3x))2

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Q: dx ト メ

A: Method of substitution is used

Q: 1 X° - 1 - dx In x ах

A: According to the given information, it is required to evaluate the given integral.

Q: Show that In xdx = x In x-x+C and use this result to determine the integral:

A: