12. If you were asked to evaluate the integral x'e* 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 %3D 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.
12. If you were asked to evaluate the integral x'e* 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 %3D 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.
12. If you were asked to evaluate the integral x'e* 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 %3D 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.
If you were asked to evaluate the integral ∫ x2exdx, a good first step would be: I. u-substitution with u = ex and du = exdx II. u-substitution with ? = x2 and ⅆ? = 2? ⅆ? III. Integration by parts with ? = ?2 and dv = ex dx
Transcribed Image Text: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.
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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