# How do I find the antiderivative of #f(x) =3x^2 + sin(4x)+tan x sec x#?

Because:

To do these integrals i have used these rules:

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To find the antiderivative of f(x) = 3x^2 + sin(4x) + tan(x)sec(x), you can integrate each term separately. The antiderivative of 3x^2 with respect to x is x^3, the antiderivative of sin(4x) with respect to x is -(1/4)cos(4x), and the antiderivative of tan(x)sec(x) with respect to x is sec(x). So, the antiderivative of f(x) is:

∫f(x) dx = x^3 - (1/4)cos(4x) + 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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