# Integral of e Sqrt x

In this tutorial we shall explain another very important type of integral.

The integration of sine inverse is of the form

To solve this type integration we use method of integration by substitution.

Putting $z = \sqrt x$ taking derivative $dz = \frac{1}{{2\sqrt x }}dx$ implies that $2zdz = dx$
Integral (i) becomes the form

By using integration by parts, it must have at least two functions, take first function is $2z$ and second function will be ${e^z}$

Using formula for integration by parts, we have

Equation (i) becomes using above formula, we have

Now again putting the value $z = \sqrt x$, we have