# How do you integrate #secx^2/(1+tanx^2 )dx#?

The answer is

Let's do some simplification

So,

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To integrate sec^2(x) / (1 + tan^2(x)) dx, you can use trigonometric identities to simplify the expression. Start by expressing sec^2(x) in terms of sin(x) and cos(x), and tan^2(x) as well. Then, simplify the expression and integrate term by term. The integral of sec^2(x) / (1 + tan^2(x)) dx simplifies to the integral of cos(x) dx. Therefore, the result of the integration is sin(x) + C, where C is the constant of integration.

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