Evaluate the definite integral Round your answer to three decimal places.

Name: Evaluate the definite integral Round your answer to three decimal places.
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Question

​Evaluate the definite integral  Round your answer to three decimal places. ​

Quizplus · Accepted Answer

By using integration by substitution with $u=2x+1$ and $du=2\,dx$, we have
$$\int_2^5 \frac{4}{(2x+1)^2}\,dx = \int_{5}^{11} \frac{2}{u^2}\,du = \left. -\frac{2}{u} \right|_{5}^{11} = 6.999.$$
Therefore, the answer is $\boxed{\textbf{(D)}}.$

​Evaluate the Definite Integral Round Your Answer to Three

Evaluate the Definite Integral Round Your Answer to Three