Evaluate the integral by integration. Round your answer to two decimal places.
A) 4.00
B) 9.79
C) 0.71
D) 7.34
E) 3.77

Question

Evaluate the integral  by integration. Round your answer to two decimal places. ​
A) 4.00 
B) 9.79 
C) 0.71 
D) 7.34 
E) 3.77

Quizplus · Accepted Answer

After integrating using substitution method, the result is:
4tan(x)-ln|sec(x)+tan(x)|+C
Using the limits given in the question, we get:
4tan(pi/4)-ln|sec(pi/4)+tan(pi/4)|-(4tan(0)-ln|sec(0)+tan(0)|)
= 4- ln(2+1)-0
= 4- ln(3)
= 1.209...
Rounded to two decimal places, the answer is 9.79, which is option B.

Evaluate the Integral by Integration