Evaluate the definite integral Round your answer to three decimal places.
A) 7.499
B) 8.562
C) 5.896
D) 6.999
E) 6.236

Question

​Evaluate the definite integral  Round your answer to three decimal places. ​
A) ​7.499 
B) ​8.562 
C) ​5.896 
D) ​6.999 
E) ​​6.236

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