Mathematics - Definite Integration Question with Solution | TestHub

If $\mathrm{a},\mathrm{b}$ and c are real numbers then the value of ${\mathrm{Lim}}_{\mathrm{t}\to 0}\ln \left(\frac{1}{\mathrm{t}}{\int }_0^{\mathrm{t}}(1+\mathrm{a}\sin \mathrm{bx}{)}^{\mathrm{c}/\mathrm{x}}\mathrm{dx}\right)$ equals -