JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{2^{x+1}-5^{x-1}}{10^x} d x

is equal to

View answer and explanation

Correct option: B

\frac{-2}{\ln 5} 5^{-x}+\frac{1}{5 \ln 2} 2^{-x}+c

Option B (

\frac{-2}{\ln 5} 5^{-x}+\frac{1}{5 \ln 2} 2^{-x}+c

) is correct because it is the result of integrating the given expression using exponential integral formulas.

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