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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
Evaluate the following integral:
$
\int_{-\pi/2}^{\pi/2} \log\!\left(\frac{2-\sin x}{2+\sin x}\right)\,dx
$
Solution
Let $f(x)=\log\!\left(\frac{2-\sin x}{2+\sin x}\right)$. Then $f(-x)=\log\!\left(\frac{2+\sin x}{2-\sin x}\right)=-f(x)$, so $f$ is odd. Integral over $[-\pi/2,\pi/2]$ of an odd function is $0$.Online Test Series, Information About Examination,
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