# How do you find the integral of #int sin x * tan x dx#?

The answer is

We need

Consequently,

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To find the integral of ∫ sin(x) * tan(x) dx, you can use substitution method. Let u = sin(x), then du = cos(x) dx. Rewrite the integral in terms of u: ∫ u * (u/√(1-u^2)) du. Now, use substitution v = 1 - u^2, then dv = -2u du. Rewrite the integral again in terms of v: ∫ -1/2 * dv. Integrating this yields -1/2 * v + C, where C is the constant of integration. Finally, substitute back for u and v to get the final answer: -1/2 * (1 - sin^2(x)) + C.

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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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