https://youtu.be/Tfl90TqW3jA

In this video I go over another example on trig substitution for integrals and solve the integral of 1/(x<sup>2</sup>sqrt(x<sup>2</sup>+4)). In this example I use the trig substitution x = 2tanθ.

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# Trigonometric Substitution for Integrals: Example 3

![Trigonometric Substitution Example 3.jpeg](https://cdn.steemitimages.com/DQmdPo8KB6YzjQST3uJPKjr1zUXGP71Yas5MkvCbyEP7w2d/Trigonometric%20Substitution%20Example%203.jpeg)

**Example:**

![](https://cdn.steemitimages.com/DQmUKTrDAxGU7hQKv2yn34Z27xLy4F497MxBW3WeRsUk1JE/image.png)

**Solution:**

![](https://cdn.steemitimages.com/DQmcubXADxRxWXUa9VyFXzPB5KNHf6pccs4CenRHHYoKFGb/image.png)

![](https://cdn.steemitimages.com/DQmUtkzGCr9n4iXGVMxgSMTq9AexzCC7SMWhBSxn8iYsrGh/image.png)

![](https://cdn.steemitimages.com/DQmPvTh56jLXEepGnSsJttgoyZjvYE9KVGHyjdxQWw5FBT7/image.png)