\[\frac{1}{2},\frac{\pi}{4}] | MATH - INTEGRATION BY SUBSTITUTION | SolveeIt

$\frac{1}{2},\frac{\pi}{4}$

$1,\frac{\pi}{2}$

$\int_{}^{}{13^{x}dx}$

$\frac{13^{x}}{\log 13} + c$

None of these

Answer

$1,\frac{\pi}{2}$

Explanation

$\sqrt{1 - e^{2x}} + c$

Now putting $\int_{}^{}{\frac{1}{\log a}(a^{x}\cos a^{x})dx =}$

it reduces to

$\sin a^{x} + c$ .

Question: \[\frac{1}{2},\frac{\pi}{4}\]...