JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The antiderivative of

\frac{{{3^x}}}{{\sqrt {1 - {9^x}} }}

with respect to

x

View answer and explanation

Correct option: A

\left( {{{\log }_3}\,\,e} \right)\,\,{\sin ^{ - 1}}\,\,\left( {{3^x}} \right) + C

Option A (

\left( {{{\log }_3}\,e} \right)\,{\sin ^{ - 1}}\,\left( {{3^x}} \right) + C

) is correct because it is the antiderivative obtained by using substitution and the formula for the integral of

\frac{1}{\sqrt{a^2 - x^2}}

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