Vault Of Euclid

Integrating a Power of Sine Multiplied by Cosine

Antiderivatives warmup

Find \( \int \sin^4 x \cos x \, dx \).

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What you need first

The power rule for integration
Derivatives of basic trigonometric functions
The concept of an indefinite integral and the constant of 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 problem in Calculus I when learning the method of substitution for indefinite integrals.

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