Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Definite Integration

Question:
Find the value of $\int_{0}^{\pi/2}\log(\frac{4+3\sin x}{4+3\cos x})dx$
Options:
0
1
$\pi$
$\pi/2$
Correct Answer:
0
Explanation:
Using ,$\int_{0}^{a}f(x)dx$=$\int_{0}^{a}f(a-x)dx$ we get $I=\int_{0}^{\pi/2}\log(\frac{4+3\cos x}{4+3\sin x})$. Hence $I=-I$. So $I=0$