JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \frac{x+\left(\cos ^{-1} 3 x\right)^2}{\sqrt{1-9 x^2}} d x

is equal to

View answer and explanation

Correct option: A

C-\left(\frac{1}{9} \sqrt{1-9 x^2}+\left(\cos ^{-1} 3 x\right)^3\right)

Option A (\

C - (\frac{1}{9} \sqrt{1-9x^2} + (\cos^{-1} 3x)^3)

\\) is correct. The integral is solved by splitting it into two parts and using substitution for each part.

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