8. Evaluate the integral by using a substitution prior to integration by parts. xp- Vx² + 18 - 9 m Oc.

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Q: 14 Find the integrals using integration by parts. a. fx(x + 4) dx c. fx'e"dx e flnx'dx d. [(In x)°…

A: (g) The given integral is, I=∫lnxxdx Rewrite as, I=∫xlnxdx Here, ∫udv=uv-∫vduu=lnx and du=1xdxdv=xdx…

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A: To solve the improper integral

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A:

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A: Change in polor coordinate.

Q: 14 Find the integrals using integration by parts. b. JF In /rdx In a. fx(x + 4)°dx c. fr'e"dx d.…

A: Just multiply by 1and go ahead.

Q: 2 4-2y 4x-x dxdy r2y 4x-x dxdy + e e

A: The reverse Order integration is:-

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Q: 1.a) Apply the Trapezoid and Corrected Trapezoid Rule, with h=; , to approximate the integrale-2x²…

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A: To evaluate the given double integral.

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Q: 6. Calculate the integral in parts: Je (2x + 4) cos(4x) da.

A:

Q: sketch, reverse and evaluate the integral dy dz 15

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Q: Evaluate the integral by reversing the order of integration 4 16 2 dy dx 3 ys 1 0 х In(48) X

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Q: 8r dr. 4. Evaluate the improper integral or show that it diverges:

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Q: To find the arclength of y = 3x² + 3 from æ = 0 to x = 4, which is the correct integral? OL = | VI+…

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Q: Evaluate the integrals

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A: We need to integrate of the following integrals.

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Q: Evaluate the integrals 1 (x² + y² + z²) dz dy dx 0, 0,

A: The value of the integral is, 1. The detailed solution is as follows below:

Q: Calculate the integral approximations Ts and M6 for Si x° dx. %3D Mc =

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A:

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