The functions y = ex and y = xªe don't have elementary antiderivatives, but y = (4x¹ + 1) exª does. Evaluate the following integral. (Use C for the constant of integration.)[((²x² + 1) 0+¹) αxdxXx Remember to use capital C.

The given inetgral .The objective is to solve the integral.

Answered: The functions y = ex and y = x^ex*…

The functions y = ex and y = x^ex* don't have elementary antiderivatives, but y = (4x² + 1) e** does. Evaluate the following integral. (Use C for the constant of integration.) [((x¹+1) ex) dx

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 8CR

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Question

The functions y = ex and y = xªe don't have elementary antiderivatives, but y = (4x¹ + 1) exª does. Evaluate the following integral. (Use C for the constant of integration.)
[((²x² + 1) 0+¹) αx
dx
X
x Remember to use capital C.

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