Vault Of Euclid

Integral of sec^2(4x) tan(4x)

Antiderivatives warmup

Evaluate \( \int \sec^2 4x \tan 4x \, dx \).

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What you need first

derivatives of trigonometric functions
the chain rule
integration by substitution
the power rule for integration

What this problem tests

Tests the ability to recognize a function and its derivative within an integrand and correctly apply u-substitution.

This is a standard introductory calculus problem for practicing integration by substitution with trigonometric functions.

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