Evaluate the integral of tan^2(theta) sec^4(theta) using substitution and trigonometric identities.

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

Antiderivatives core

Find \( \int \tan^2 \theta \sec^4 \theta \, d\theta \).

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What you need first

Derivatives of trigonometric functions
Pythagorean identities
Integration by substitution
Power rule for integration

What this problem tests

Tests the ability to recognize when to use u-substitution with trigonometric functions and how to apply Pythagorean identities to facilitate the substitution.

This is a standard problem in a Calculus II course covering techniques of integration, specifically trigonometric integrals.

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

What you need first

What this problem tests

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