17. 5x)e" dx 18. r + 1)e dr

Q: Evaluate the integrals in Exercises using integration by parts.

A: We have the given integral as I=∫xdx9-x2

Q: Express the integral in terms of the variable u, but do not evaluate it. In x -dx; u = Inx e3 rel4…

A:

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 36 +…

A:

Q: Evaluate the integral using integration by parts where possible. (x + 1)e* dx

A: ∫01x+1exdx = ∫01(xex + ex)dx = ∫01xexdx + ∫01exdx ∫ex = ex + c Therefore, ∫01exdx = e -1

Q: Make a substitution to express the integrand as arational function and then evaluate the integral.…

A: Given integral is: Using substitution and applying derivative:

Q: Use integration by parts to evaluate the integral: In(s)ds

A: Given, To Evaluate

Q: Evaluate the integral dx (2x + 11) by making the appropriate substitution: u =

A:

Q: Evaluate the integral using tabular integration by parts. 7 x° V2 x + 1 dx 36 (2i al + 9 =') +cX

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Q: Evaluate the integral using integration by parts. e4 x* In (x)dx 1

A: To Evaluate:

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 16 +…

A: Integration by parts:∫uvdx = 4∫vdx - ∫[ddx(u)∫ vdx]dx

Q: Compute the integral below using integration by parts. So³ (12x + 4) cos 2ædx

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Q: dx XV 16x4 – 1

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Q: Find the exact value of the integral using formulas from geometry. 5 (3+ 2x)dx 1

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Q: Evaluate the integrals in Exercises using integration by parts

A: We know that, Integration by Parts is a special method of integration that is often useful when two…

Q: Evaluate the integrals in Exercises using integration by parts.

A: The integral given to us is  ∫y16-y2dy

Q: Using only the definition of RS-integral, evaluate 2 ,2 d[x}.

A:

Q: Consider the integral sin(5z) d: Applying the integration by parts technique, let and du x dz Then…

A: The by parts formula of integration is ∫udv=uv-∫vdu.

Q: Evaluate the integral using integration by parts where possible. r In(8r)dx

A:

Q: 37. x² In x dx

A: To evaluate the integral ∫1e2 x2 ln x dx using integration by parts.

Q: Evaluate the integrals in Exercises using integration by parts. 3. f cos t dt 4. * sin x dx

A: The formula for an integral ∫udv is uv-∫vdu. Here u function is selected on basis of ILATE order.…

Q: Determine the exact value of the multiple integral -In 101 ex-y+z dx dy dz – In z JIn 99

A:

Q: Evaluate the integrals in Exercises using integration by parts.

A: Integration of a function is the process of finding the anti-derivative of the function. The…

Q: Evaluate the integrals in Exercises 2. J 3 dx dx 1. 9 + x VI + 9x

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

A: Given that: ∫3tan3(2x)sec5(2x)dx

Q: x sec (3x) tan (3x)dx

A: The given integral is ∫xsec3xtan3xdx. We know the integration by parts formula:…

Q: V3 2 dy 1- у?

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Q: Compute the integral below using integration by parts. Sxešdx

A: The answer is found in step-2.

Q: 3x² sin? x dx

A: Follow the procedure given below.

Q: Evaluate the integrals in Exercises using integration by parts.

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Evaluate the integral. (Use C for the constant of integration.) In(Vx) dx

A: ∫lnxdx=∫lnx12dx=12∫lnxdxLet u=ln(x)du=1xdxdv=dxv=∫dxv=x

Q: evaluate the integral using the methods covered in the text so far.

A:

Q: Evaluate the integrals in Exercises using integration by parts

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: Evaluate the integral using integration by parts. cot -1(5y)dy

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Q: 14 Find the integrals using integration by parts. -2 b. JVF In Vxdx a.

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Q: Evaluate the integrals using integration by parts. ∫t2 cos t dt

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Q: Calculate the integral. (Use C for the constant of integration.) dx XV 36x4 – 1

A: Given, ∫dxx36x4-1 We have to evaluate the integral.

Q: Evaluate the integral using integration by parts with theindicated choices of u and dv .   ∫θ Cos θ…

A: We have to solve the integral using integration by parts: ∫θ cos θ dθ taking u=θ, v=cos θ When two…

Q: Find the integrals using integration by parts. b. [ Vx In /xdx

A: Consider the given: ∫xlnxdxIntegration by parts:∫udv=uv−∫vdu

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) ( 16 +…

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Q: Evaluate the integrals below: etanx sec² x 3. a) V(1 – (elanx )2 :. dx, b) / cot5x. dy

A: We need to integrate of the following integrals.

Q: Evaluate the integral. e sec²(8x) dx %3D +C

A:

Q: Evaluate the integral using tabular integration by parts. 2 x³ /2 x+1 dx +C

A: Recall the tabular integration by parts

Q: Evaluate the integral. (Use C for the constant of integration.) 7 In(x) dx XV 5 + (In(x))²

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Q: Using integration by parts, the integral f In(16x*) dx is equal to:

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Q: evaluate using Integration by Parts.

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Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 4 +…

A: Given

Q: Evaluate the integral using tabular integration by parts. 1 | 7 x° V2 x+1 dx (2x + 1) (35x – 15x? +…

A: Given,            ∫7x32x+1dx

Q: 3. x+1 dx

A: let I=∫5x32x+1dxput 2x+1=u2x=u-1x=(u-1)2and  2x+1=udifferentiate w.r.t.…

Q: Consider the integral z'e* Applying the integration by parts technique, let and

A:

Q: Use integration by parts to evaluate the integral. | (In(3x))*dæ- 8, +C

A: The given integral is ∫(ln(3x))2dx. Let  3x=u. Differentiate both sides.    3dx=du⇒dx=13du…