# How do I evaluate the indefinite integral #intsec^2(x)*tan(x)dx# ?

The answer is

Complete this integral by using a substitute.

Consequently, the integral is

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To evaluate the indefinite integral ∫sec^2(x) * tan(x) dx, you can use the substitution method. Let u = sec(x), then du = sec(x) * tan(x) dx. The integral becomes ∫du. Integrating du gives u + C. Substituting back, the result is sec(x) + C. Therefore, the indefinite integral of sec^2(x) * tan(x) dx is sec(x) + C, where C is the constant of integration.

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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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