JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

I=\int \frac{1}{2 p} \sqrt{\frac{p-1}{p+1}} d p=f(p)+c

, then

f(p)

is equal to :

View answer and explanation

Correct option: C

\ln \sqrt{{p}+\sqrt{{p}^2-1}}-\frac{1}{2} \sec ^{-1} {p}

Option D (

\ln \sqrt{{p}+\sqrt{{p}^2-1}}-\frac{1}{2} \sec ^{-1} {p}

) is correct because it represents the correct integration of the given expression.

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