Evaluate the integral. (Use C for the constant of integration.) х dx x2 + x + 3

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

A: To evaluate the given integral

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

A: Integrate the given integrand x/x4+2x2+2 by completing the square method

Q: Evaluate the integral. (Use C for the constant of integration.) A) x cos(2x) dx B)e6θ sin(7θ) dθ

A: here we evaluate the integral      (A)   ∫ x cos (2x)dx     (B)  ∫ e6θ sin (70) dθ

Q: Evaluate the integral 8x2 dx J (æ – 3)(x + 2)² - Note: Use an upper-case "C" for the constant of…

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

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Q: Evaluate the integral. (Use C for the constant of integration.) e60 sin(70) d0

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Q: Evaluate the integral. (Use C for the constant of integration.) S. x² – 16 dx x3

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Q: Find the integrals. Ax dx a)

A: Given : ∫5e-4xdx

Q: Evaluate the integral. x2 e dx +C

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

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: 3 sin (T|3 – 2x|) dx

A: The given integral,   ∫03sinπ3-2xdx

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

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

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Q: Derive the formula by using integration by parts on the left-hand side. (Assume n > 0.)

A: Given:

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

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

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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. (Use C for the constant of integration.)…

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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: a) S In Gxt1) dx 2.

A: In this question we have to find the Integration. Formula Used, - Chain Rule. - ∫lnx=1x+C

Q: Evaluate the integral. (Use C for the constant of integration.) ∫(36dx/ (36 + e^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: To calculate the integral

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

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

A: Consider the expression 3x2-2=u. The power rule of differentiation states that d dx(xp)=pxp-1, where…

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x²V…

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Q: Sx²e=* dx Sx²e¬

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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: Evaluate the integral. (Use C for the constant of integration.) cos 30 de

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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 integral. (Use C for the constant of integration.) e-0 cos 80 d0

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

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

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

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 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.) e8x ex/2 dx

A: Explanation of the solution is given below...

Q: Which one of the four integrals below has a finite value ? Select one: 00 x? dx 00 1 dx 3 00 x dx 3…

A: We have to find the integral which have finite value.

Q: Evaluate the integral. (Use C for the constant of integration) (X^7)/(e^3-5x^8) dx

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Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) 1…

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