Question

Evaluate the integral/(1/x+e^x)dx​

Answer 1

Answer:

$\large \bold\red{ ln(x) + {e}^{x} + C}$

Explanation:

Given,

We have to integrate,

$\large \bold{\int( \frac{1}{x} + {e}^{x} )dx}$

Further simplifying,

We get,

$= \int \frac{1}{x} dx + \int {e}^{x} dx \\ \\ = \large \bold{ ln(x) + {e}^{x} + C}$

Where,

C is the integral constant.

Formulas used,

• $\large \boxed{ \pink{\int \frac{1}{x} dx = ln(x) }}$

• $\large \boxed{\pink{\int {e}^{x} dx = {e}^{x} }}$