Evaluate the indefinite integrals using Substitution. (use C for the constant of integration.) a) x +9 1 dx = 12 b) -4x + 5 dx

Q: q dx (6x²+ 32) dz

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Q: Use the basic integration rules to find or evaluate the integral ∫x2 √(x3 − 27) dx

A: Now put

Q: Evaluate the integral. 2 5 dx VE x²Vx² – 1 .2 - NOTE: Enter the exact, fully simplified answer.

A: We have to calculate the value of given integral.

Q: Evaluate the integral. (Use C for the constant of integration.) (8x + 7 sin(x))? dx

A: Answer is given below....

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

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Q: Evaluate the integral. (Use C for the constant of integration.) √x²√3 dx √3+2x-x²

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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 + 9x + 1 dx (x² + 1)2

A: Make two parts of the integration.

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

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Q: Evaluate the integral. (Use C for the constant of integration.) 7x2 + x + 7 dx (x² + 1)2

A: The given integral is: ∫7x2+x+7x2+12dx To evaluate the given integral.

Q: state what method applies and how one applies it, but do not evaluate the integral:

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

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Q: Find the general indefinite integral. (Use C for the constant of integration.) x3 + 12), 343 x*+C 2

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Q: Use geometry to evaluate the definite integral -2∫2 √4−x2 dx

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Q: Evaluate the integral. (Use C for the constant of integration.) (3× – 5*) dx -

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Q: | (3x – 2)2 dx.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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

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

A: In this question given that a integration and solve it.  We use here integration formula and solve…

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.) dx x2 + 25

A: SOLUTION-

Q: Evaluate the integral. (Use C for the constant of integration.) 3,2r+e2" dx

A: Solve the intregal

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

A: Use substitution method to integrate. or   use ∫secθ dθ = logsecθ + tanθ + C1…

Q: valuate the integral of x(x – 5)^12 dx from 5 to 6.

A: We have to find out

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) tan-(5x) dx 1 + 25x2 1 2…

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Q: Evaluate the integral. (Use C for the constant of integration.) x² - 64 dx - +8

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Q: Solve the integral below using integration by part. [(2x - 3) 3) e* dx

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Q: Find the general indefinite integral. (Use C for the constant of integration.) - 3u4 ته( ل u? +)

A: This question can be solved by using some basic formulas of integration like ∫xndx

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: Use a table of integrals to find the indefinite integral

A: Consider the given integral ∫ex1-e2x32dx

Q: /1 x² dx /2 2 x2

A: I am going to calculate this integral using trigonometric substitution.

Q: Find the indefinite integral. (Use C for the constant of integration.) 8. xV 64 – (In x)2

A: Consider the integral: ∫8x64-lnx2dx…

Q: Evaluate the integral –4x3/2 In(x) dx, x >0 Note: Use an upper-case "C" for the constant of…

A: Evaluate the integral

Q: Evaluate the integral. (Use C for the constant of integration.) 1- 36x2 dx

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Q: Evaluate the integral. (Use C for the constant of integration.) X + 14 dx + 2x + 5

A: Topic - integration

Q: Find the general indefinite integral. (Use C for the constant of integration.) 2 4x2 + 8 + dx x2 + 1

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Q: Evaluate the integral. (Use C for the constant of integration.) 17xe2x dx (1 + 2x)?

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Q: Evaluate the integral. (Use C for the constant of integration.) 8x 8 dx 8x e

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Q: Evaluate the integral. (Use C for the constant of integration.) dx 3 - 3x9

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Q: Evaluate the integral ∫6x^2−4/(x^3−2x−8) dx       Note: Use an upper-case "C" for the constant of…

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Q: Evaluate the integral. (Use C for the constant of integration.) 7 sin?(x) cos3(x) dx

A: INtegral can be rewritten as:  int 7 sin2(x)(1-sin2(x))cos(x)dx Let sin(x)=t cos(x)dx=dt…

Q: Use an appropriate u-substitution to evaluate the indefinite integral 3sin (71)cos(7)dt. Use C'for…

A: Use substitutions to integration

Q: За? +8х —12 dx x3+7x²+12x 3x +8x- -12х

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Q: Evaluate the integral. (Use C for the constant of integration.) | 8x2 + 7x + 8 dx (x2 + 1)2

A: Given query is to find the value of the integral.

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

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Q: (n) /* dx sin? 4

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Q: Use integration by parts to evaluate the integral. 8x e (X dx 8x e TX dx = (Use C as the arbitrary…

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Q: use a geometry formula to find the exact value of the definite integral (-2x+4) dx on the interval…

A: We have to find the exact value of the definite integral (-2x+4) dx on the interval [3/2,1/2]As a…

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

A:

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

A: ∫16x3-6x2+8x+3 dx

Q: Evaluate the integral. (Use C for the constant of integration.) cos(x) (4 + 8 sin²(x)) dx

A: Solve the intregal