# Integral of e^x(sinx+cosx)

In this tutorial we shall find some different type of function like integral of e^x(sinx+cosx).

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

Using a formula for integration in which exponential function into some function plus its derivative, we have

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

Now using the formula