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A: Note: -Since you have asked multiple question, we will solve the first question for you. If you want…

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A: Let…

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A: The given integral is- I=∫13x2-23x+1dx Evaluating the integral- I=x33-23x22+x13=x33-x23+x13

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

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A: on doing integration with respect to x we will get

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A: Substitute (x-1) as t, and solving this we can get solution easily as shown ahead.

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A: As per the question we are given an indefinite integral of (x-1)/(x2 + x) which we have to evaluate.

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A: We will solve the problem

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Q: 105. A student made the following error on a test: re = xe-1 dx Identify the error and explain how…

A: ex is of the form ax For the function xn, n is an integer. ddxxn=nxn-1, n is an integer. Example:…

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

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A: Solving the problem by doing the integration.

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Q: 2 x³ dx Did you get an unusual answer? Can you explain it?

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Q: Evaluate: 4e-2* dx. Show your work!

A: Please refer the attached image for complete solution.

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A: As per our guidelines we need to solve only one question. Please, repost the reamaining questions as…

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A: To find the integration.

Q: 8. The value of -dx is 2 22 Preview

A: Given integral is This is evaluated by using the result that integral of (x^n)dx is x^(n+1)/(n+1)

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A: Since you have posted multiple questions, as per our policy we will answer first question. Please re…

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