Question

Evaluate $\int (x^{12}+{12}^x)dx$
(where $C$ is constant of integration)

• A. $\frac{x^{13}}{13}+\frac{{12}^x}{\ln 12}+C$
• B. $\frac{x^{13}}{13}+\frac{{12}^x}{12}+C$
• C. $\frac{x^{13}}{\ln 13}+\frac{{12}^x}{12}+C$
• D. $\frac{x^{13}}{\ln 13}+\frac{{12}^x}{\ln 12}+C$

Answer 1

The correct option is A $\frac{x^{13}}{13}+\frac{{12}^x}{\ln 12}+C$

Let $I=\int (x^{12}+{12}^x)dx$
$\Rightarrow I=\frac{x^{13}}{13}+\frac{{12}^x}{\ln 12}+C$