Question

$$\int _ { - \infty } ^ { \infty } e ^ { - x ^ { 2 } } d x$$

Answer

$$(5*d*x)/e^x^2$$

Solution


Remove parentheses.
\[{e}^{-{x}^{2}}dx\times 5\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[\frac{1}{{e}^{{x}^{2}}}dx\times 5\]
Simplify.
\[\frac{5dx}{{e}^{{x}^{2}}}\]