Evaluate the following integrals x4-2x2+5 *t-2x²+5 dx (x3-x2)

Q: Evaluate the improper integral 2x dx, if it exists. (x² + 81)2

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Q: Evaluate the integral. 停。 2 - 4 dx 8

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Q: Evaluate the integral. 3. (In(x))² x3 dx 1

A: I am attaching image so that you understand each and every step.

Q: Evaluate the integral. 3) S- dx x/ 16x2 - 7

A: As per the guideline we are solving only first question. Kindly repost the other question in the…

Q: Evaluate the improper integral : 4x³e-9æ* dx

A: we have to evaluate the improper integral

Q: Evaluate the integral. 3 (x³ - 6x)dx

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Q: Evaluate the integrals in ∫x2(x2) dx

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Q: Evaluate the integral. 5 x3-3x2 x³ - 3x2. dx x3 - 3x2 14

A: Formula used:∫xndx=nn+1n+1+C∫1x-adx=ln|x-a|+Cln|a|-ln|b|=ln|ab|

Q: Compute the following integrals. 2.x2 + 18 dr. x3 – 3x2 (a)

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Q: Evaluate the indefinite integral. 2x - 3 (2x² - 6x + 6)² dx + C

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Q: 2х + 1 2x3 – x²

A: ∫2x+12x3-x2dx

Q: Evaluate the integral. r 5 (In(x))² x3 dx

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

Q: Evaluate the integrals ∫ 1/x3/2 - √x dx

A: Given: integration

Q: Evaluate the integral. '3 8- In(x) dx x2

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Q: 2. 2-16)3/2 (x²–16)3/2 -dx x3

A: Consider the integral-  I=∫(x2-16)3/2x3dx Using By-parts integral which is defined as follows-…

Q: Evaluate the integral of x(x – 5)^12 dx from 5 to 6

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Q: evaluate the integral.

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Q: Evaluate the following integrals.

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Q: Evaluate the integral. 了學 ( Inx dx O- In x - +C 2x 4x2 O-4 In x - + C 4x2 0.을 Inx- +C 2x2

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Q: Evaluate the integral S (2x − 8)dx - x² - 6x + 18

A: Solution is below

Q: Evaluate the integrals ∫dx/√(9 + x2)

A: To evaluate I=∫19+x2dx

Q: Evaluate the following integral. 4 2 -dx -dp- x* + 4x +4

A: Given,  ∫142x2+4x+4dx

Q: Evaluate the integral. 9. (x3 - 2x) dx -6

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Q: 7х-1 dx х2—х-6 х-1 dr

A: As per our guidelines we are only supposed to solve first question in case of multiple questions

Q: Evaluate the following integral. 4 (x2 - 2x - 8) dx -2

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Q: Evaluate the following integral: dx -27 x2/3

A: Solve the following

Q: Evaluate the following integrals.

A: Evaluate: ∫2x3+x2-2x-4x2-x-2dx              ...(1)

Q: evaluate the integral.

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Q: Evaluate the integrals ∫ x dx/9 - x2

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Q: Evaluate the following integrals (a) 2x+3x-2 dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Evaluate the integral

A: Given: I=∫xdxx2-7 for evaluating given integral, in given integral we substitute x2-7=t…

Q: Evaluate the following integral 4/12 dx 16 -x

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Q: 4 x4-1

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Q: dx 3-2x-x2 -3

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Q: 13. x-x dx x² +x?

A: We need to evaluate the integral ∫13x-x-3x2+x-2dx ................ (1)

Q: Find the integral of So 7x+2x² (x-4)(2x+3X2x+1) dx

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Q: Evaluate the integral. ( x³ In 4x dx

A: Given, ∫x3ln(4x)dx

Q: Evaluate the indefinite integral. 2x - 3 (2x² - 6x + 1)6 dx + C

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Q: х2 + 8х — 3 dx х3 + 3x2

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Q: Evaluate the following improper integral 8 3 [x²²³x x² - x 2 dx.

A: Use substitution method for solving the integral.

Q: 2 -1 -x²+8x-4 dx 1 x(x²+x-2)

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Q: dx 21. x² + 6x + 13

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Evaluate the following indefinite integral

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Q: Evaluate the following integral. ∫(49 dx)/(x3 - 7x2)

A: Given integral is I=∫49x3-7x2dx

Q: 2. fx²5-x' dx

A: ∫01x25-x3dxapply u substitution;take, u = -x3;du = -3x2-du3=x2then our equation can be written as…

Q: Evaluate the integral. 3. [(ax-2-4) dx 2.

A: The given integral,        ∫234x-2-4dx

Q: dx /3-2x-x² 2

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Q: Jx (2х — 3)%ӑх

A: