Evaluate the integral. х — 1 dx x2 - 7x - – 8

Q: X- xe d.x

A: Given :   ∫0+∞xe-xdx

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A: The detailed solution is given below Thank you

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A: As per bartleby expert policy, only first individual question is to be answered. Kindly repost the…

Q: Evaluate the following integrals 1 3x 2x + y²)dydx a.

A: Solve the following

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A:

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A: we have to find integration

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A: We will solve this integration by substitution

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A: In this question we have to find the double integral of the given function.

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

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A: ∫ uv dx = u ∫ v dx - ∫ (u' ∫ v dx) dx. ∫ (1+2x)e-xdx = -(1+2x)e-x + ∫2e-xdx ∫ (1+2x)e-xdx =…

Q: Evaluate the integral. x2 cos(7 x) dx +C

A: The given integral is: I=∫x2 cos(7x) dx

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A: Given that: ∫1x29-x2dx

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Q: Evaluate the integral. .2 5) t + dx t 1

A: Given,   ∫12t+1t2dx

Q: Evaluate the integral by making the given substitution. dx u = 3x + 9 (3x + 9)3 + C

A:

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A: Please see the answer below.

Q: Evaluate the following integrals. 3xx + 1dx b. de. a. tan²

A: Consider the integral

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A: We need to evaluate integral.

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A: According to the Bartleby guidelines only one question can be solved at one time, post the remaining…

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Q: +00 dx Evaluate the improper integral x(In x)²

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Evaluate the integral of the following. 1 | sec*-xtan* 1 2* dx

A: We will evaluate the integral as following.

Q: evaluate the given integral.

A: Given integral, ∫xx2+1dxwe have to evaluate the given integral.

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A: We have to find the integral

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A: To evaluate:

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Q: A Evaluate the following integrals. 1. fx² In x dx 2. S tan-ix dx

A: Let I=∫ x2lnxdxApply integration by part,I=ln(x)∫x2dx-∫ddx(ln(x)∫x2dxdxApply power rule…

Q: Find the integral of (1 + 2x)e^(-x) dx from x-0 to x--. A. 3 B. 4 C. 2 D. 1 O A B. DI

A: Use integration by parts for solving it,

Q: Evaluate the integral . Identify the u and the du. (5x2  +  1 )2  (10x) dx

A:

Q: Find the integral [(x** +(-1)°x*!) In((a+2)x)dx b+1 с+1

A: The integral has been solved n attached in the second step.

Q: Evaluate the following integrals.

A: ∫x1-9x2 dx Put, 1-9x2=t⇒0-92x=dtdx⇒-18x=dtdx⇒-18x dx=dt⇒x dx=-dt18