Two integration approaches Evaluate ∫cos (ln x) dx two different ways:a. Use tables after first using the substitution u = ln x.b. Use integration by parts twice to verify your answer to part (a).

Q: Using Integration by Parts :-In the given equation as follows, use integration by parts to find the…

A: Definition -               Integration by part -                                ∫udv= uv-∫vdu

Q: Find value of a&b without using integration by part

A: Given     To evaluate   a and b

Q: valuate the indefinite integral. (Use C for the constant of integration.) dx

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Q: Evaluate the integral. 2 8x dx   0

A: Integral of a^x = a^x/lna

Q: ne value of fe*d by dividing the range of integration qual parts using Simpson's rule is aces)…

A: Introduction: The formula of Simpson 13rd rule for n equal intervals is given by,…

Q: Use a change of variables or the table to evaluate the following indefinite integral. 3 7 + 5 Vx dx…

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Q: Question Using integration by parts, the integral f(9x 3)e*dx is equal to:

A: Given: ∫(9x-3)e3xdx Integration by parts: ∫uv dx=u∫v dx-∫dudx∫v dxdx Where, v and u functions of x

Q: Solving it with gamma and beta function 1 dx - Ln x

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Q: Evaluate the integral.   7 1    (ln(x))2  / x3 dx

A: The given integral is, ∫17lnx2x3dx

Q: Evaluate the integral. (Use C for the constant of integration.) (8x3 − 6x2 + 8x +

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Q: Use integration by parts to integrate the following. You must show work. (xe10x )dx

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Q: Solve ƒx² ln(x) dx using Integration by Parts. Use u = In(x) and v = x². Answer:

A: Given integral is  ∫x2ln(x) dx. we have to find the value of the integration using integral by parts…

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

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Q: Evaluate the integral. (If the quantity diverges, enter DIVERGES.) ∞   0xe−x dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) 1 x2 − 6x + 22 dx

A: Given the integral: ∫(x2-6x+22)dx

Q: Use a change of variables or the table to evaluate the following indefinite integral. 3. 4 +3) Vx dx…

A: To solve the given integral.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) xV7 - x2 dx

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

A: Given,            ∫2 ln(x3) dx

Q: II. Perform the integration. sinh (e-") dx e² cosh(e-¤) 4.

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Q: valuate the indefinite integral. (Use C for the constant of integration.) 6 - x2 dx

A: We need to substitute for this integration

Q: Evaluate the definite integral 35 + x°dx 3 a) Find an anti-derivative + x°dx +C b) Evaluate 35 +…

A: Here we have to evaluate the definite integral I=∫-3435+x8dx

Q: Use a change of variables or the table to evaluate the following indefinite integral. Click the icon…

A: To evaluate the given indefinite integral by change of variables

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

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Q: Evaluate the indefinite integrals using Substitution. (use C for the constant of integration.) a) x…

A: To evaluate:a) ∫1x+9dxb) ∫12-4x+5dx

Q: Use the Exponential Rule to find the indefinite integral. (Use C for the constant of integration.)…

A: topic - indefinite integral

Q: Evaluate the integral. (Use C for the constant of integration.) 3 dx e8x

A: 3∫e8x dx Using the formula ∫eax dx = eaxa+C

Q: In the integration of x dx/(9 + x^2), what is the appropriate integration formula? * Integration of…

A: Third option is correct.

Q: Find the indefinite integral. (Use C for the constant of integration.) 1. dx Need Help? Watch It…

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Q: Using integration by parts, solve the following indefinite integral dx 5x + x2

A: The given integral is                                          ∫dx5x+x2

Q: Evaluate the integral. (Use C for the constant of integration.)  integral symbol (ln(x))50/x dx

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Q: II. Perform the integration. 2 1. csc- x cot xVcsc x – 1 dx 6

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Q: Evaluate the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

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Q: What integration formal will be used in integrating / sec? -dx? tan x a. trigonometric b. power of…

A: To find the correct options

Q: Use an appropriate change of variables to solve the following integral. (Use a capital C as the…

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Q: Evaluate the integral. (Use C for the constant of integration.) x2 + 16x + 1 (x2 + 1)2…

A: We have to find integral.

Q: Use a change of variables or the table to evaluate the following indefinite integral. dx Click the…

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Q: How many times do you have to apply Integration by parts technique to evaluate the integration | x5…

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Q: Find the indefinite integral:  ∫ x (x - 8)1.5 dx. Hint: Use Integration by Parts.

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Q: Perform the integration. sinh²(e-²) dx e# cosh(e-²)

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Q: Using integration by part, solve x3 In x dx

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Q: Use a change of variables or the table to evaluate the following indefinite integral. 2x* dx Click…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x33 sin(x34) dx Submit…

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Q: 5 cosh 2t +-sinh 2t 2 -2t 3. L{

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Q: Two methodsa. Evaluate ∫x ln x2 dx using the substitution u = x2 and evaluating ∫ln u du.b. Evaluate…

A: ∫xlnx2 dx a. Put, u=x2⇒dudx=2x⇒du=2x dx⇒du2=x dx Therefore, ∫xlnx2 dx=∫lnu du2=12∫lnu du=12∫lnu·1…

Q: use integration by parts to solve. ∫ Inx dx

A: We will solve the integration.

Q: Find the indefinite integral. (Use C for the constant of integration.)   e5x − e2x + 1

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Q: how do you integrate the following? integral 3x dx divided by 3 sqrt 3-7x^2

A: Given problem is

Q: 6x + 2x dx + Step 1 Notice that the numerator is the derivative of the denominator. Thus the…

A: Solve the following

Q: Evaluate the integral. (Use C for the constant of integration.)   (x2.8 + x−1.3) dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x5 dx 1 + x12

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