# How do you integrate #int x^2/(sqrt(x^2-4))dx# using trigonometric substitution?

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If we take

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We have,

Hence,

**Using (1) and (2)**

For Trigonometric substitution proceed according to Hint given

above

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#### Answer:

#### Explanation:

Let,

We subst.

Next, we use the substn.

Returning to

**However,** the integral can **easily** be dealt with **without**

**using the substn.** as shown below :

**as before!**

**Enjoy Maths.!**

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