Question

The value of $\mathop \smallint \limits_0^1 \,\,\frac{{{2^{2x + 1}}\,\, - \,\,{5^{2x - 1}}}}{{{{10}^x}}}\,\,dx$, is

Accepted Answer

$ - \frac{3}{5}\,\,\left\{ {\frac{2}{{{{\log }_e}\,\,\left( {\frac{2}{5}} \right)}}\,\, + \,\,\frac{1}{{2\,\,{{\log }_e}\,\,\left( {\frac{5}{2}} \right)}}} \right\}$

Answer

$\frac{3}{5}\,\,\left\{ {\frac{2}{{{{\log }_e}\,\,\left( {\frac{2}{5}} \right)}}\,\, + \,\,\frac{1}{{2\,\,{{\log }_e}\,\,\left( {\frac{5}{2}} \right)}}} \right\}$

Answer

$\frac{3}{5}\,\,\left\{ {\frac{2}{{{{\log }_e}\,\,\left( {\frac{2}{5}} \right)}}\,\, - \,\,\frac{1}{{2\,\,{{\log }_e}\,\,\left( {\frac{5}{2}} \right)}}} \right\}$

Answer

None of these

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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