MCQ
$\int\limits_{ - 4}^4 {\left( {{2^x} + {2^{ - x}}} \right)\left( {{3^x} + {3^{ - x}}} \right)} \,dx$ is equal to
- A$10$
- B$16\left( {\ln 2} \right)\left( {\ln 3} \right)$
- C$16\left( {\ln \frac{2}{3}} \right)$
- ✓$0$
✓
Answer
Correct option: D.
$0$
d
$\left(2^{x}+2^{-x}\right)\left(3^{x}-3^{-x}\right)$ is an add function so
$\left(2^{x}+2^{-x}\right)\left(3^{x}-3^{-x}\right)$ is an add function so
$\int_{-4}^{4}\left(2^{x}+2^{-x}\right)\left(3^{x}-3^{-x}\right) d x=0$
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