Evaluate the definite integrals using properties of the definite integral and the fact that dx = -5. dx = 8, and g(x) dx = 4. (a) 6f (x) dæ = Number (b) f (x) dx = Number (c) I (f (2) – g (2)) dæ Number (d) (5f (x) + 6g (x)) dx Number

Q: find the indefinite integral of (x3 +1)ln(x)dx

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Q: Find the general indefinite integral. (Use C for the constant of integration.) | (x2 + 2x - 3) dx…

A: The objective of the question is evaluate the indefinite and definite integral.

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

A: The objective is to find the given indefinite integral

Q: integral of x^2 sqrt(2+16x^2)dx

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Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

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Q: integral of ln x4/x dx

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Q: integral of (xe^(-3x))dx

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Q: indefinite integral of x7/8 dx

A: Given integral is

Q: B. EVALUATE EACH INDEFINITE OR DEFINITE INTEGRAL. DO NOT SIMPLIFY YOUR RESULT. 21. [(12x- sec (x)dx…

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Q: 23. (x + 1)(3x – 2) dx

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Q: Use integration by parts to evaluate the definite integral: 0.9 -200 dx 5xe %3D -0.8

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Q: .3 |x? sin(x + 4) dx x² sin(x

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Q: x2 dx use this fact and the properties of definite integrals to evaluate (3 - 3x2) dx. Given that…

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Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

A: To give the solution with proper explanation for the given problem. To find the indefinite integral…

Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

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Q: integral of tan3xsec^4(3x) dx

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Q: Find the indefinite integral using the formulas from Theorem 5.20. (Remember to use absolute values…

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Q: | sin 2x cos7x dx

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Q: Determine the indefinite integral| V1-x² dx. Check the answer by differentiation.

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Q: integral of (x^2)/(sqrt(9-x^2)) dx

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: evaluate the indefinite integrals. If you made a u-substitution and/or performed integration by…

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Q: Evaluate the definite integral. Use a graphing utility to verify your result.

A: The given integral is ∫-102x-1dx.

Q: Evaluate the definite integral. Use a graphing utility to verify your result.

A: Given that the integral ∫-20x2ex32dxNow,I=∫-20x2ex32dxsubstitute…

Q: Evaluate the definite integral. Use a graphing utility to verify your result.

A: Integration:     ∫-31exe2x+2ex+1dxWe need to substitute ex=z                              exdx=dz

Q: Integral of 8/e2x dx

A: Given integral:

Q: Find the indefinite integral and check the result by differentiation

A: Explanation: Given that, ∫x2(6-x3)5dx   Substitute the  u=6-x3du=-3x2dxdx=du-3x2   Now put this…

Q: Evaluate the definite integral. Use a graphing utility to verify your result.

A: To evaluate: ∫-88x13dx Solving the given integral,…

Q: Evaluate the definite integral. Use a graphing utility to verify your result.

A: Evaluate the definite integral. Use a graphing utility to verify your result.

Q: evaluate the indefinite integral. If you made a u-substitution and/or performed integration by…

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) a + bx5 dx 6ax + bx6

A: Given the following integral:

Q: find the indefinite integral of:  ∫x²/³√2x+1 dx

A: Consider the provided integral, ∫x22x+13dx Evaluate the provided integral. Apply the substitution…

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: Find the general indefinite integral. (Use C for the constant of the indefinite integral.) 32x3 dx

A: To find the general indefinite integral.

Q: integral from 0 to 1 of square root of (1- square root of x) dx

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Q: definite integral of 1 at the top and 0 at the bottom x square root of 56x^2+25 dx

A: Let the given definite integral be y - y = ∫0156x2+25dxy = ∫0156x2+2556dxy = ∫0156x2+5562 dxy =…

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

A: Apply the power rule of integration, ∫xndx=xn+1n+1+C So, the given integral is:…

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: 7 -8x² – 5 + dx x² +1 Integral =

A: We have I =∫ - 8x2 -5 + 7x2+1dx

Q: the indefinite integral and check the result by differentiation.                     ∫(4x2 + 3)2 dx

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Q: Evaluate the definite integral. Use a graphing utility to verify your result.

A: Let the given integral be y - y = ∫-122xdxy = 2xln2-12…

Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

A: The given integral is ∫x3-6x-4dx Integral formulas, ∫xndx=xn+1n+1+C∫dx=x+C

Q: indefinite integral of x^2(sin(x)) dx.

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Q: Find the indefinite integral and check the result by differentiation                     ∫x2 / (1 +…

A: Find the indefinite integral and check the result by differentiation                     ∫x2 / (1 +…

Q: 9. 1 dx - 3

A: Solution

Q: sinh x tex cosh x + ex In the indefinite Integral Sin(cosh x + e*)- dx, what is the integrand?

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Q: Integral of x^2-3x-7/(2x+3)(x+1)^2 dx

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Q: sinh x + ex cosh x + ex In the indefinite Integral in(cosh x + ex)- A In(cosh x + e*) B sinh x + ex…

A: To find integrand the steps are as follows.

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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