4) First make a substitution and then use integration by parts to evaluate the integral. (Use C for the constant of integration.)

Q: Evaluate the integral. (Use C for the constant of integration.) | 3z3e? dz

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Q: Evaluate the integral using tabular integration by parts. (3 x² – x + 1) e¬¤ dæ +C -

A: As per our guidelines we can solve only one question at a time. Please repost unsolved question…

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: dx XV 16x4 – 1

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Q: 14 Find the integrals using integration by parts. Lx(x + 4) dr --2

A: Given that:(a) ∫x(x+4)2dx

Q: Integral in REVERSE ORDER

A: Given that  I=∫08∫y32ex4dx dy Limits are given y=0 and y=8     x=y3y=x3  and x=2

Q: 52. Use Property 8 to estimate the value of the integral 1 dx Jo 1 + x2

A: Given: Integration 0 to 2 of (1/1+x^2).dx

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. (Use C for the constant of integration.) dx x² - 3

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Q: 34. x sec xdx

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Q: Evaluate the integral -4-2 8x Cos y dy dr y – 4 by reversing the order of integration.

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Q: how to solve problem in photo attached

A: Substitute x = t2 in the given integral and so the limit varies pi/2 to pi.

Q: Calculate the integral by interchanging the order of integration. 2, (x + 7e – 6) dx ) dy

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Q: Find formulas for the functions represented by the integrals.

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Q: Evaluate the integrals using integration by parts. ∫eθ sin θ dθ

A: ∫eθsinθdθ

Q: Evaluate the integrals using integration by parts. ∫sin-1 y dy

A: Evaluate: ∫sin-1ydy

Q: Evaluate the integral. (Use C for the constant of integration.) te-8t dt

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Q: Evaluate the integral. (Use C for the constant of integration.) 19z3e? dz

A: Explanation of the answer is as follows

Q: Evaluate the integral. (Use C for the constant of integration.) 5V 25 + ex dx

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Q: Evaluate the integral –4x3/2 In(x) dx, x >0 Note: Use an upper-case "C" for the constant of…

A: Evaluate the integral

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: 2: Change the order of integration. •ln 4 f(u, у)dydx.

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Q: 4. Calculate the integral, f 4e" sinh x dx.

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Q: 1. Evaluate the integral by reversing the order of integration. re dy dr.

A: we only solve one question at a time. Please send these questions separately which you want to be…

Q: 26.Evaluate the integral by reversing the order of integration. a) 0∫1 3y∫3 ex2 dxdy

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Q: If f(x)dx - + what are the bounds of integration for the first integral? a = and %3D

A: To find the bounds of integration

Q: (b) Integrate the following using integration by parts: [5t* Int dt

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

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Q: Evaluate the integral. (Use C for the constant of integration.) 16 In(Vx) dx

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Q: Evaluate the integral ∫dz/1 + ez

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

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

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

Q: 3. Reverse the order of integration in (2xy + 1)dxdy and then evaluate.

A: Explained below

Q: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the…

A: To find the integration.

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

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Q: Evaluate the integral. (Use C for the constant of integration.) 11 dx x²V 4x² - 1

A: Given integral ∫11dxx24x2-1=11∫dxx24x2-1 Now consider ∫dxx24x2-1 Use substitution method to solve…

Q: 3. Reverse the order of integration in 24e² dydx and then evaluate the integral with the new limits

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Q: #1: Use integration by parts to evaluate the following integral. Inx

A: Explanation of the answer is as follows

Q: 3. Change the order of integration sin dydx. Hence, evaluate the integral. y

A: Sol ∫0π∫xπsinyydydxChange order of integration =∫0π∫0ysinyydxdy

Q: How many times do you need to integrate by parts to reduce ff(In x)° dx to an integral of In x? ·

A: Given integral is ∫1eln x6dx

Q: Evaluate the integral. (Use C for the constant of integration.) | 8x2 + 7x + 8 dx (x2 + 1)2

A: Given query is to find the value of the integral.

Q: Evaluate the integral. (Use C for the constant of integration.) (2x4 – 4x-2 + 3x + 4) dx

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Q: 2. xem di

A: The given integration, ∫xe3xdx use integration by parts, ∫u dv=uv-∫v du use the formulas,…

Q: Evaluate the integral. (Use C for the constant of integration.) At dt te-4t

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Q: 4) Reverse the order of integration in 2 2x x' dydx 0 x2 and evaluate the integral as an x-simple…

A: To reverse the order of the below integration. ∫02∫x22xx3dydx

Q: Use property 8 to estimate the value of the integral 1,12 15/0 - 58 a dx.

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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: (i) Change the order of integration in the integral vi-x dx dy and hence evaluate.

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

Q: 24) Find the integration by applying (by part method) Sin ¹y dy

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Q: 4. Evaluate this integral by reversing the order of integration: Vy3 +1 dy dx.

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