Question

$\smallint \,\,\frac{{{4^{x + 1}}\,\, - \,\,{7^{x - 1}}}}{{{{28}^x}}}\;\,\,dx$ is equal to

Accepted Answer

$\frac{1}{{7\;\,\,{{\log }_e}4}}\,\,{4^{ - x}}\,\, - \,\,\frac{4}{{{{\log }_e}7}}\,\,{7^{ - x}}\,\, + \,\,c$

Answer

$\frac{1}{{7\;{{\log }_e}\,\,4}}\,\,{4^{ - x}}\,\, + \,\,\frac{4}{{{{\log }_e}7}}\,\,{7^{ - x}}\,\, + \,\,c$

Answer

$\frac{{{4^{ - x}}}}{{{{\log }_e}\,\,7}}\,\, - \,\,\frac{{{7^{ - x}}}}{{{{\log }_e}\,\,4}}\,\, + \,\,c$

Answer

$\frac{{{4^{ - x}}}}{{{{\log }_e}\,\,4}}\,\, - \,\,\frac{{{7^{ - x}}}}{{{{\log }_e}\,\,7}}\,\, + \,\,c$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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