Evaluate the definite integral of the algebraic function. Use a graphing utility to verify your results.

Name: Evaluate the definite integral of the algebraic function. Use a graphing utility to verify your results.
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Question

Evaluate the definite integral of the algebraic function.  Use a graphing utility to verify your results.

Quizplus · Accepted Answer

Using integration by parts with u = x and dv = e^x dx, we get:
∫x e^x dx = xe^x - ∫e^x dx = xe^x - e^x + C 
Evaluating the definite integral from 0 to 2 gives:
2e^2 - e^2 + (0-1) = e^2 - 1. 
Using a graphing utility to verify this result is also recommended.

Evaluate the Definite Integral of the Algebraic Function