Question

What is the integral of $\cos ecx$?

Answer 1

The integral of $\cos ecx$.

Integration is the inverse process of differentiation. The derivative of a function is given, and the process of finding the original function back is called integration or anti-differentiation

Integral of $\cos ecx$:
$\int \cos ecxdx=\ln |\cos ecx-cotx|+C$

Hence, integration of $\cos ecx$ is $\ln |\cos ecx-cotx|+C$ where $C$ is a constant of integration .