Consider fx*ecr+5 dx, where c is a positive constant. (a) u and dv, and then perform one iteration of integration by parts in order to rewrite the original integral using the integration by parts formula. You do not have to find the final answer in this part, just apply integration by parts once. Suppose you want to evaluate this integral via integration by parts. State the correct choice of (b) Use the tabular method to evaluate the integral f xtec+5 dx.

Q: Evaluate the integral. (Use C for the constant of integration.) | 16 In(V) dx

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Q: Use integration by parts to simplify each integral. Must work each integral out by hand and show all…

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Q: Evaluate the integral. (Use C for the constant of integration.) | 3z3e? dz

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Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 36 +…

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Q: Change the order of integrations to find iterated integral e dydx. 2

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Q: (x²–16)3/2 -dx x3

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

A: Given, To Evaluate

Q: Identify the method applicable and evaluate the integral using the identified method: adx 5. S -…

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Q: Evaluate the integral. (Use C for the constant of integration.) x² dx 81 - x2

A: Given,             ∫x281 - x2dx

Q: Evaluate the integral. (Use C for the constant of integration.) x² - 49 dx .3

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Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 16 +…

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Q: Determine ∫2x(x^2 + 5)dx by making a substitution. Then, determine the integral by multiplying out…

A: Evaluate: ∫2xx2+5dx

Q: Evaluate the integral. (Use C for the constant of integration.) 1 - 4x2 dx

A: Given that∫ 1-4x2 dxwe need to evaluate it

Q: dx x In* (x)

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Q: x2 dx 3 (9- х2)2

A: sin(x)=1-cos2(x) tan2(x)=sec2(x)-1 ddxsin(x)=cos(x)

Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

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Q: use properties of the integral and the formulas in the summary to calculate the integrals

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Q: 4 dx x4-1

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Q: x e* dx (1+х)2

A: Explanation of the answer is as follows

Q: Evaluate the integral. (Use C for the constant of integration.) +² | dx 81-x²

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Q: Evaluate the integral. (Use C for the constant of integration.) 9e2x dx 1 + eX

A: Given,           ∫9e2x1+exdx

Q: Evaluate the integral. (Use C for the constant of integration.) dr

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Q: For each integral, would integration be done by straight rules, or would the integral need to be…

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Q: cOs x In(sin x) dx

A: Given,  ∫cos x ln(sin x) dx

Q: 2 -y2 dydx e 0. 2x

A: The answer is given as follows:

Q: Use the tabular method to find the integral. (Use C for the constant of integration.) 3x3 sin(x) dx

A: The given integral is ∫3x3sin x dx. ∫3x3sin x dx=3∫x3 sin x dx ddxxn=nxn-1∫sin xdx=-cos x+C∫cos…

Q: Evaluate the integral. (Use C for the constant of integration.) x2 - 49 dx

A: Find your answer below

Q: Evaluate the integral. (Use C for the constant of integration.) 3e3x dx

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Q: Find the integral. (Use C for the constant of integration.) (x6 + 5-×) dx

A: In this question, we need to find the integral of given function.

Q: Evaluate the integral. (Use C for the constant of integration.) | (4x* - 2x-2 + 3x-5 + 5) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 19z3e? dz

A: Explanation of the answer is as follows

Q: Evaluate the integral. (Use C for the constant of integration.) (4x4 3x-2 + 5x-5 + 2) dx

A: By using integration formula we can easily solve it. See attached file for a step by step…

Q: Evaluate the integral. (Use C for the constant of integration.) 9xV1- x4 dx

A: Formula used: ∫a2-x2dx=xa2-x22+a22sin-1xa+C Calculation: Simplify the integral as follows:…

Q: Evaluate the integral. (Use C for the constant of integration.) 5xV1 - x4 dx

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Q: 4x2 + x – 2 dx x3 – 5x2 + 8x – 4

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Q: Evaluate the integral. (Use C for the constant of integration.) 16 In(Vx) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) x2 - 64 dx

A: The given integral is ∫x2-64x3dx. Let us assume u=x2-64 and v'=1x3. Differentiate u with respect to…

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) ( 16 +…

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Q: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the…

A: To find the integration.

Q: Evaluate the integral. Use C for the constant of integration. 4dx

A: Given integral is- I=∫4dx9x3 It can be written as- I=49∫1x3dx=49∫1x32dx=49∫x-32dx

Q: dx J 3+1 3+ vx

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Q: J1/4 Jx2

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Q: Use integration by parts to evaluate the integral: (7r + 1)dr

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Q: Evaluate the integral. (Use C for the constant of integration.) 4e2x dx 5 + ex

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Q: Evaluate the integral. (Use C for the constant of integration.) 13 dx xV 9x2 - 1

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Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 4 +…

A: Given

Q: Evaluate the integral. (Use C for the constant of integration.) 25x-5 dx

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Q: Evaluate the integral. (Use C for the constant of integration.) (3x5 + 1) dx

A: see 2nd step.

Q: Evaluate the integral. (Use C for the constant of integration.) 6x2 + 8x + 3) dx

A: ∫16x3-6x2+8x+3 dx