Question

$\smallint \,\,\left[ {{e^{a\,\,\log \,\,x}}\,\, + \,\,{e^{x\,\,\log \,\,a}}} \right]\,\,dx\,\, = ... + \,\,c\,\,;\,\,a,\,\,x\,\, > 1$

Accepted Answer

$\frac{{{x^{a + 1}}}}{{a + 1}}\,\, + \,\,\frac{{{a^x}}}{{\log \,\,a}}$

Answer

$\frac{{{e^{a\,\,\log \,x}}}}{{a\,\,\log \,\,x}}\,\, + \,\,\frac{{{e^{x\,\,\log \,\,a}}}}{{x\,\,\log \,\,a}}$

Answer

$\frac{{{x^{a - 1}}}}{{a - 1}}\,\, + \,\,{a^x}\,\,.\,\,\log \,\,a$

Answer

$\frac{{{e^{a\,\,\log \,\,x}}}}{{a/x}}\,\, + \,\,\frac{{{e^{x\,\,\log \,\,a}}}}{x}$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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