Question

$\int 2^{ mx } \cdot 3^{ nx } dx$ when $m , n \in N$ is equal to

• A. $\frac{2^{ mx }+3^{ nx }}{ m \lambda n 2+ n \lambda n 3}+ c$
• B. $\frac{e^{(m / n 2+n \lambda n 3) x}}{m \lambda n 2+n \lambda n 3}+c$
• C. $\frac{2^{ mx } \cdot 3^{ nx }}{\lambda n \left(2^{ m } \cdot 3^{ n }\right)}+ c$
• D. $\frac{( mn ) \cdot 2^{ x } \cdot 3^{ x }}{ m \lambda n 2+ n \lambda n 3}+ c$

Answer 1

Answer: (B), (C)

$2^{ mx }= e ^{ mx \ln 2}$ and $3^{ nx }= e ^{ nx \ln 3}$.