# The Integral of e^x(sinx+cosx)

In this tutorial we shall find a different type of function known as the integral of e^x(sinx+cosx).

The integral of e^x(sinx+cosx) is of the form

Using the following formula for integration

Here we are given function $f\left( x \right) = \sin x$, and differentiate with respect to variable x we have $f'\left( x \right) = \cos x$

Now using the formula