Vault Of Euclid

Integral of a Linear Combination of Sine and Cosine

Antiderivatives warmup

Evaluate \( \int \left( 3 \sin x + 5 \cos x \right) dx \).

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What you need first

Linearity of the indefinite integral
Derivatives of basic trigonometric functions

What this problem tests

Tests the student's knowledge of basic trigonometric antiderivatives and the linearity property of integrals.

This is a fundamental exercise in a first-semester calculus course, introducing the basic antiderivatives of trigonometric functions.

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