Find the integral using the indicated substitution. ,

Name: Find the integral using the indicated substitution. ,
Brand: Quizplus
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Question

Find the integral using the indicated substitution.  ,

Quizplus · Accepted Answer

The indicated substitution is $u = 2x-3$, which implies $du = 2 dx$. We can rewrite the integral as $\frac{1}{2}\int e^u du$. The antiderivative of $e^u$ is simply $e^u$, so the integral evaluates to $\frac{1}{2}e^{2x-3} + C$. Therefore, the answer is (B).

Find the Integral Using the Indicated Substitution