# What is Integration Using Euler's Method?

Estimating Definite Integral by Euler's Method

Example

Use Euler's Method to approximate the definite integral

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.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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