The correct option is
D Explanation for the correct option:
Step 1: Expanding the given integral into two parts and defining the integral
Let
Step 2: Finding the value of
To evaluate this integral using the integration of rational numbers
Substitute
Substitute
Substitute
Substituting the value of
Step 3: Integrating
Substitute this in
Step 4: Evaluating the integral using the substitution method
Evaluating
Evaluating
Evaluating
Step 5: Finding the value of
Substituting the obtained values in equation we get,
Hence, option (D) is the correct answer.