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Questions
BA6TPV8D7Y
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:
$I=\int_{0}^{2/3}\frac{1}{4+9x^2}dx=\int_{0}^{2/3}\frac{1}{2^2+(3x)^2}dx={1/3/}\int_{0}^2\frac{1}{2^2+z^2}dz=\pi/12$
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