Skip to main content
Back to INDEFINITE INTEGRATION

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
1 of 1
Application +4 | -1
∫  3x9x  −  1    dx\int \,\,\frac{{{3^x}}}{{\sqrt {{9^x}\,\, - \,\,1} }}\,\,\;dx is equal to
View answer and explanation
Correct option: A
1log⁡  3  log⁡  ∣ 3x  +  9x−1 ∣  +  c\frac{1}{{\log \,\,3}}\,\,\log \,\,\left| {\,{3^x}\,\, + \,\,\sqrt {{9^x} - 1\,} } \right|\,\, + \,\,c
Option A is correct because the integral can be solved by substituting 3x=t{3^x} = t and using the standard integral formula.

More Questions from INDEFINITE INTEGRATION

Practice All Chapter MCQs →
Type at least 2 characters or jump directly:
🔓

Save your learning progress

Sign in with a free account to save your practice answers and quiz results, then return to them when you revise.