Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Definite Integration

Question:
Find $\int_{0}^{2/3}\frac{1}{4+9x^2}dx$
Options:
$\pi/2$
0
$\pi/12$
$\pi/4$
Correct Answer:
$\pi/12$
Explanation:
$I=\int_{0}^{2/3}\frac{1}{4+9x^2}dx=\int_{0}^{2/3}\frac{1}{2^2+(3x)^2}dx={1/3/}\int_{0}^2\frac{1}{2^2+z^2}dz=\pi/12$