# How do I integrate with Euler's method by hand?

##### 1 Answer

Nov 13, 2014

**Estimating Definite Integral by Euler's Method **

**Example**

Use Euler's Method to approximate the definite integral

For simplicity, let us use the step size

Let

So, we wish to approximate

Note that by Fundamental Theorem of Calculus I,

Now, let us start approximating.

By linear approximation,

Hence,

I hope that this was helpful.