In the integration dx xV1-4ln*x What is the value of u? a. u = 4ln² x In x b. u = 2 C. u = In x² = Inx d. u

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Q: 14. Use integration by parts to evaluate each integra 2. 2X e dx 2 In x dx b.

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Q: Evaluate the integral. (Use C for the constant of integration.) x² dx 81 - x2

A: Given,             ∫x281 - x2dx

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Q: Evaluate the integral. (Use C for the constant of integration.) +² | dx 81-x²

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Q: Evaluate the integral. (Use C for the constant of integration.) | (4x4 - 3x-2 + 5x-5 + 2) dx

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Q: (b) Use Integration by parts to show that ·4 In x ~dx= =-+2ln.x) +C

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Q: Evaluate the integral 8 dx x² V25 – x2 Note: Use an upper-case "C" for the constant of integration.

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A: Explanation of the solution is given below...

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Q: Use integration by parts to find the integral. (7x-3) e-2x dx -2x dx = (7x-3) e

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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.) 9xV1- x4 dx

A: Formula used: ∫a2-x2dx=xa2-x22+a22sin-1xa+C Calculation: Simplify the integral as follows:…

Q: Q3: Use integration by parts (Tabular method) to find the integral (2³_2 x² + 3x +1) sin(2x) dr

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Q: Evaluate the integral ∫(5x -1)2 dx by two methods: first square and integrate, then let u = 5x - 1.

A: To evaluate the integral ∫5x-12dx

Q: O Integrate In 2x dx by using integration by part.

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Q: Evaluate the integral. (Use C for the constant of integration.) x2 - 64 dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 3 + 2x - x2 dx

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Q: how to solve problem in photo attached

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Q: Evaluate the integral ∫6x^2−4/(x^3−2x−8) dx       Note: Use an upper-case "C" for the constant of…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 8 zp zV 49z2 - 25 2 49x – 25…

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Q: Evaluate the integral. (Use C for the constant of integration.) 7-6x - x² dx

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Q: Evaluate the integral 5(x – 9) dx (x + 5)(x – 2) Note: Use an upper-case "C" for the constant of…

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

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A: Use substitution method

Q: Evaluate the integral. (Use C for the constant of integration.) x² - 36 dx v3

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Q: Evaluate the integral -1 dx x² + 16 Note: Use an upper-case "C" for the constant of integration.

A: LetI=∫-1x2+16dxTake the constant out:  ∫a·fxdx=a·∫fxdxI=-∫1x2+16dxI=-∫1x2+42dxPur x=4tany…

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

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Q: Use the basic integration rules to find or evaluate the integral ∫x/ 3√(4 − x2) dx

A: The given integral is ∫x4-x23dx.

Q: 2) Perform the integration dx i) S x/1-(In x)² dx ii) S 4e2x-1 Find th doriuotiuo

A: As per bartleby guidelines we only give first questions answers.

Q: Select the basic integration formula you can use to find the indefinite integral. 10 dt (10t – 3)2 +…

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A: The Final diagonal element is always consider the best estimate of the integral  I=∫abf(x)…

Q: Evaluate the integral. (Use C for the constant of integration.) dx 49 - x2

A: We have to find the integral

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A: =∫(x2+4)cos(x)dx Integrate by parts: ∫fg′=fg−∫f′g f =x^2+4, g′ =cos(x)   ↓ steps   ↓ steps f′…

Q: Q3: Use integration by parts (Tabular method) to find the integral (r³_2 x² +3x +1) sin(2x) dr

A: The given integral is ∫x3-2x2+3x+1sin2xdx To solve the integral using by parts .

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Q: Use integration tables to find or evaluate the integral.

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Q: Find the indefinite integral. (Use C for the constant of integration.) Vtan(8x) sec?(8x) dx +C x

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