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Integration by Parts

12. Techniques of Integration / Integration by Parts / Problema 1

Problema 1

Evaluate the integral \( \int x e^x \, dx \) using integration by parts.

A

\( x e^x + e^x + C \)

B

\( x e^x - e^x + C \)

C

\( e^x (1 - x) + C \)

D

\( e^x (x + 1) + C \)