Question

integral.of e^7x is​

Answer 1

Answer:

$\huge\boxed{\bf\implies: \frac{1}{7} {e}^{u} }$

Step-by-step explanation:

$\bf\int {e}^{7x} dx - - - - - - - - - - (1)\\ \\ \tt let \: u = 7x \implies \: du = 7dx \\ \\ \boxed{ \tt \implies \: \frac{1}{7} du = dx}\\ \\ \sf \huge \: now \: (1) \mapsto \\ \\ \bf\implies: \int {e}^{u} \frac{1}{7} du \\ \\ \bf \implies: \frac{1}{7} \int {e}^{u} du \\ \\ \boxed{\bf\implies: \frac{1}{7} {e}^{u} }$