Evaluate the integral. (Use C for the constant of integration.) fa.5* + 9*) dk (1.5× + 9*) dx

Q: Evaluate the integral. x? + x + 1 dx (x² + 1)²

A: To evaluate the given integral

Q: Evaluate the integrals

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Q: Evaluate the integral. 3 x e* dx = +C

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Q: e*dx 5.

A: topic - integration by parts

Q: Q2) Find the integral of: f*,6 tan*x dx

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Q: 1. S 3ln x2 dx

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Q: Q2 - Evaluate the following integrals i. x cosh(x² + 1) dx -0.5

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Using a Table of Integrals with the appropriate substitution, find re3x + 7e2¤ + 4e* dx Ve2x 64

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Q: 2 dx a) Evaluate the integral by completing the square and using a substitution 2 x2-6x+10

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Q: (D) What is the value of the original integral in terms of x? -30V z2 + 25 X + C 25z

A: Using substitution we have

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) 1 9…

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Q: Evaluate the integral. (x2 + 6)e¬X dx

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Q: dx h) S x2+4x+8

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Q: Evaluate the integral. (x² + 2)e¬× dx

A: To evaluate:∫01x2+2e-xdx

Q: 4x Use the appropriate substitution to evaluate the following integrals: dz =.

A: To find:∫4xx2-1dx

Q: Evaluate the integral. •3 dx x4/x² + 3 NOTE: Enter the exact answer.

A: Explanation of the answer is as follows

Q: 2x

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Q: 4x3 – 3x dx 14 — 2л2 + 5

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Q: 8) S-x+3 x2+x-2 dx

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Q: Find the integrals below. a) J(2x + 3)* dx b) (x?(x³ + 3)6 dx

A: Integrate. ∫2x+34dx=2x+355×1ddx2x+3+C=2x+355×12+C=2x+3510+C

Q: Find the integral. dx x2 + 3 + C

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dx,…

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Q: Evaluate the integral. a dx a > 0 (a² + x²33/2'

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Q: dx 51. 1 + e*

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Q: Find or evaluate the integral by completing the square. (Use C for the constant of integratiOn.) x4…

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Q: Evaluate the integral : 5x-x? dx (x-1)(x+1)² +C

A: We have to solve the integration

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) xp…

A: The given integral is x/(x4+10x2+26).

Q: Evaluate the integral. (Use C for the constant of integration. 9r15-r8 e

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Q: Evaluate the integral. .2, 5) )2 dx t+

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Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) xp…

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Q: dx For the integral L ' (x-1)% which of the following options is correct?

A: Solve: ∫-121x-123dx

Q: Evaluate the integral. 13 x2 e-2 dx + C

A: topic - indefinite integral

Q: (b) Solve the following integral by using the Integration by Parts. e* cos 2x dx

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Q: 5. Evaluate the Integral ?(x²-2)"dx

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Q: x? dx (x² – 25)5/2

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Q: (p) / V5– ² dx.

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Q: Sx²e=* dx Sx²e¬

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Q: Evaluate the integral: 6/ x² dx + C

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Q: Evaluate the integral. (Use C for the constant of integration.) p7 In(p) dp

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Q: Evaluate the given integrals. 3x?dx 1. S 2х4—1

A: Given that a integration and we solve this problem by using general formula of integration.…

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x3+…

A: Given integral is We will use the following substitution to evaluate the integral.

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

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Q: If a and b are positive constants, evaluate the following integrals: e -ax -bx (a) -dx;

A: Given : The integral  ∫0∞ e-ax - e-bx x  dx  where a and b are positive constants.   To determine :…

Q: Evaluate the integral. 5 x2 e dx +C

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Q: Evaluate the integral by naking the given substitution. Use C for the constant of integration) a* dx…

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Q: The value of the integral is: b 12 f(x) dx = a

A: Given that the graph of the function  To find the definite integral that represents the shaded area

Q: Evaluate the integrals. ∫y2/(y3 + 27)dy

A: Given: ∫y2y3+27dy

Q: d.x -x2-4x

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Q: Evaluate the integral. 2 e 1/x5 dx

A: Rewrite the function as follows: ∫12ex-5x6dx

Q: Evaluate the integral. 6)e¯X dx

A: