Sine Substitution: Radical and x² in the denominator: Find .

Here we can use the Sine Substitution Rule with :

Let , :

Upon substitution, we have

We can use the Sine-Cosine identity to get:

 : Now we use Csc-Sine identity to get a trig function in the numerator:

.

We now use the integral leading to the cotangent:

.

We can convert back to an expression in x, using the Sine Diagram: , or , or . With this result, we finally get

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