Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x-Vx3 + 13 dx, u = x³ + 13

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

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Q: please answer the question and show all of your work

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Q: Use the basic integration rules to find or evaluate the integral. (Use C for the constant of…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) 5…

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Q: Evaluate the integral by making the given substitution. + 20 dx, u = x³ + 2o

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 4 dx, u= 1 + 2x (1 + 2x)

A: Explanation: Given that: ∫41+2x3dx,      u=1+2x Concept: 1. ∫xndx=1n+1xn+1+C Calculation: First…

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: Evaluate the following integrals using either integration by substitution or integration by parts:…

A: Given ∫33x+1dx

Q: 2,31 dx

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Q: Evaluate the integral. (Use C for the constant of integration.) Зx In(x) dx ,2 -36

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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: Evaluate the integral by making the given substitution. x-Vx3 + 10 dx, u = x3 + 10

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Q: Evaluate the integral. (Use C for the constant of integration.) xp x + C 9

A: Here we will use the formula of integration.   We know,  integration of Xn dx = Xn+1 /  (n+1 ) + C…

Q: Evaluate the integral by making the given substitution. (Remember to use absolute values where…

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

A: We calculate the given integral by substitution.

Q: Evaluate the integral by making the given substitution.   ∫ x2  √( x3  + 1)    dx , u =  x3   +1

A: The integral formula to be used are: ∫xn dx=xn+1n+1+C, where C is an integral constant. The integral…

Q: Evaluate the integral. x2 e dx +C

A: Here, to evaluate: ∫8 x2exdx=8∫x2exdx

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: We have to solve

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

A: We can solve this by using substitution.

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

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Q: Evaluate f 8e7x+e7= da

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Q: Evaluate the integral by making the given substitution.   ∫ x3(2 + x4)5  dx , u =2 +x4

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: Use appropriate substitution and reduce the integration in easy form then solve it.

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: Use substitutions to integration

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

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Q: Use the substitution technique to determine the following integrals:

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Q: evaluate the integral by making the given substitutions

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Q: A. Evaluate the following integrals using the different methods of integration dx 1. (9 + x²)3/2

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Q: Evaluate the integral by making the given substitution. x³(10 + x*)7 dx, u = 10 + x4

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Q: . Evaluate the integral, if it exists. L(** – 3x/3 + 1) dx а. i (20* -) dx b. 2e* X.

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Q: Evaluate the integral.

A: ∫x24-x232dx Put, x=2sinθ⇒1=2cosθ·dθdx⇒dx=2cosθ·dθ

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: We have to solve

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

A: Solve the following

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: (3x5 - 2x - 1) dz. dx

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Q: (p) / V5– ² dx.

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

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Q: Use the specified substitution to find or evaluate the integral. (Use C for the constant of…

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

A: u=7+x4  .........equation (i)differentiate wrt x on both side dudx=4x3du=4x3dxdu4=x3dx…

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

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

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Q: dx. (xVz - 5)2 dx.

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Q: Evaluate the integral m(x) dx x2

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Q: x3(1 + x4)5 dx,    u = 1 + x4

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

A: ∫x2 x3+7 dx -1u=x3+7du=3x2dxdx=du3x2

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x2…

A: Let u=x^3 + 15 find du/dx and substitute in the integral.

Q: Evaluate the integral. (Use C for the constant of integration.) x³ + 9x² + 2x + 9 dx T Tx? + 1)(x² +…

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Q: d.x -x2-4x

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

A: To evaluate: