# How do I solve #int tan^3 2xsec^4 2x dx#?

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To solve the integral ∫tan^3(2x)sec^4(2x)dx, you can use trigonometric identities and u-substitution. First, let u = sec(2x), then du = 2sec(2x)tan(2x)dx. After substitution, the integral becomes ∫(u^4 - u^2)du, which can be easily integrated. After integration, substitute back for u in terms of x to obtain the final result.

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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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