JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \,\,\frac{{{2^x}}}{{\sqrt {1\,\, - \,\,{4^x}} }}\,\,dx = K\,\,{\sin ^{ - 1}}\,\,\left( {{2^x}} \right)\,\, + \,\,C

, then

K

is equal to

View answer and explanation

Correct option: D

\frac{1}{{\log \,\,2}}

Option D (

\frac{1}{{\log \,2}}

) is correct because it results from applying a u-substitution and integrating the arcsine function.

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