If you were asked to evaluate the integral ∫ x2exdx, a good first step would be:I. u-substitution with u = ex and du = exdxII. u-substitution with ? = x2 and ⅆ? = 2? ⅆ?III. Integration by parts with ? = ?2 and dv = ex dx 12. If you were asked to evaluate the integral S x²e* dx, a good first step would be:I. u-substitution with u = e* and du = e* dxII. u-substitution with u = x² and du = 2x dxIII. Integration by parts with u = x² and dv = e* dxa) Only I is a good first step.b) Only II is a good first step.c) Only III is a good first step.d) None of the above.

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Answered: 12. If you were asked to evaluate the…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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If you were asked to evaluate the integral ∫ x²e^xdx, a good first step would be:
I. u-substitution with u = e^xand du = e^xdx
II. u-substitution with ? = x²and ⅆ? = 2? ⅆ?
III. Integration by parts with ? = ?²and dv = e^x dx

12. If you were asked to evaluate the integral S x²e* dx, a good first step would be:
I. u-substitution with u = e* and du = e* dx
II. u-substitution with u = x² and du = 2x dx
III. Integration by parts with u = x² and dv = e* dx
a) Only I is a good first step.
b) Only II is a good first step.
c) Only III is a good first step.
d) None of the above.

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