Use integration by substitution to solve the integral below. Use C for the constant of integration. 48x7 + 24 dx 2.r8 + 8x – 3 Answer

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Q: Express the integral in terms of the variable u, but do not evaluate it. So e15x-14 dx; u 15x - 14…

A: ∫01e15x-14dxLet u=15x-14.=∫-141eu115du=115·∫-141eudu=115eu-141=115e-1e14=e15-115e14

Q: 4. dr

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Q: e2 sec(e2")dr

A: We have to solve the integral: ∫e2x sece2xdx In this case we will use substitution method. So…

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

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Q: Using the method of substitution, b. x² V8x + 5 dx = f(u) du a vhere du dx = а — b = and f(u) = The…

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Q: 1 dx J Vx² + 2x + 5

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Q: Evaluate the following integrals. 1 dx x²Vx2 – 9 3

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Q: Evaluate the integral. -2x 50хе dx +C NOTE: Enter the exact answer.

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Q: Use substitution to rewrite and solve the definite integral: 5æ(a² – 2)*dæ Let u = New integral: du…

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Q: x/1 - x² dA; R = {(x, y) : 0 < x < 1, 2 < y < 3}

A: The double integral ∬Rfx, ydA is can be written as ∬Rfx, ydxdy. We have given the region R=x, y :…

Q: 5 ( (x2 + 1)z dxp x8

A: I = ∫(x2+1)52x8.dxI = ?

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 3 S[ ²…

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Q: Hi, I was wondering how to do this and what the work would look like. thank you!

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Q: Given ∫(−6x5 +5x3 +1)dx, evaluate the indefinite integral. Do not include +C in your answer.

A: To calculate the indefinite integral of the expression -6x5+5x3+1. To integrate the provided…

Q: Use substitution to find the indefinite integral. p(p+3)°dp

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Q: Use a substitution to write the following integral as an integral of a rationa function. Do not…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: In Exercises , use a substitution to change the integral into one you can find in the table. Then…

A: 27. Given integral is, ∫x3+x+1x2+12dx.   It is integrated as follows:

Q: Use either integration by substitution x² +1 S x³+3x+5 dr given that A-5 and B=7 Give your answer to…

A: We need to evaluate the following integral ∫ABx2+1x3+3x+5dx, A = 5 and B = 7

Q: Which of the following integrals is equal to the integral (3x-s) dr? 7/3 A |dz 713 B D

A: Please see the answer below.

Q: IV. Exercises A. Solve the following integrals: (1) /20. (2) / (2e + 4"). da (3) 2(5") dr

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Q: Find the value of the integral of , 2x? dx. a. 2 b.24 c. 6 d. 8

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Q: Express the integral in terms of the variable u, but do not evaluate it 15x-14 dr: u = 15x – 14…

A: Topic = Integration

Q: Evaluate the integral by completing the square and applying appropriate formulas from geometry.…

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Q: Which of the following integrals is equal to the integral f(3x-5) dr? (A B) 3 7/3 © I s(:) dz 7/3

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Q: Evaluate the integral: fe* sinhxdx. Select one: O a. -+C 0b. ²+0 ++ C d+C

A: We can solve this as follows:

Q: Evaluate the following integrals. dr x²Vx² – 9 13

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Q: 3x?-13х+14 dx 36х2-72х

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Q: Give the appropriate trig sub that would be used to evaluate dx. Do NOT Vx² – 16 solve the integral.

A: Given:     ∫x3x2-16dx

Q: Write the integral in terms of u and du. Then evaluate. / 6xe* dx, u = -x? (Use symbolic notation…

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Q: Evaluate the integral. 11 x? -2.r e dx + C NOTE: Enter the exact answer.

A: topic - indefinite integration

Q: Evaluate the integral. You may need to use substitution, complete the square, or some other method…

A: First make a complete square by adding and substracting 9 in  x 2+6x so that we get x 2+6x+9- 9…

Q: Evaluate the integralS, V1 – x² dx. Note: Retain T and any fractions in your answer if applicable.

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Q: Evaluate the integral below. Find the value of A + B - C, where "e = 2.718281828..". A dx = e +C B…

A: To find A+B-C Given integral is, ∫01xex1+x2dx=∫01exx+1-11+x2dx…

Q: Evaluate the integral 25 6)"dx - by making the substitution u = x -6. + C NOTE: Your answer should…

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Q: Use the technique of completing the square to evaluate the following integrals. x- 6x Show your…

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Q: Make the u-substitution u = 5/x, and then use the Endpaper Integral Table to evaluate the integral.…

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Q: Evaluate the integrals. Simplify your answers 3. S(12x5 + 14Vx² + 5csc²x)dx

A: ∫(12 x5 +14x25 +5csc2x)dx= 12 x66 + 14∫x25dx + -5 cotx= 2 x6 + 14 5x757 -5 cotx= 2x6 + 10x75 - 5cotx

Q: Evaluate the integral xe5x? dx by making the substitution u = 5x2. After substituting we have: (in…

A: Use substitutions to integration

Q: Question dx Using an appropriate substitution, the integral is equal to: 6x+40 (Complete the square,…

A: Integrate

Q: x2 dx Vx? – 4x + 5

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Q: Evaluate the integral: , (x2 + 3x)² (2x + 3) dx Choose the most appropriate answer. -464.67 O 81.67…

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Q: Q2/Find the value of the integral ²: by using simpson method (n = 6)? dx 1+x²

A: Let's solve given integration by using simpson 1/3 method.

Q: Evaluate the integral using an appropriate substitution NOTE: Enter the exact answer. 9e" + 8e- dx =…

A: We will solve the problem

Q: Evaluate the integral by completing the square and using the following formula. (Remember to use…

A: Evaluate the integral: I=∫9 dxx2-2x

Q: Use substitution to find the indefinite integral. p(p +4)* dp P(p +4) dp=[

A: p+4=z is the substitution.

Q: Using a Table of Integrals with the appropriate substitution, find + 5e2 + 9e dx Vezo – 64 Answer:

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Q: Use substitution to rewrite and solve the definite integral: 3x2 27 - Let u = New integral: du Where…

A: The given integral is:∫343x2x3-27dx

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A: Given: I=∫xnln(x)dx