JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

Let

\int \frac{d x}{\sqrt{2-3 x-x^2}}=f \circ g(x)+C

then which of the following is/are correct ?

View answer and explanation

Correct option: C

f(x)=\sin ^{-1} x, g(x)=\frac{2 x+3}{\sqrt{17}}

Option C (

f(x)=\sin ^{-1} x, g(x)=\frac{2 x+3}{\sqrt{17}}

) is correct because the integral evaluates to

\sin^{-1}(\frac{2x+3}{\sqrt{17}}) + C

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