Vault Of Euclid

Integral of cos(x)sin(x)sqrt(1 + sin^2(x))

Antiderivatives warmup

Evaluate \( \int (\cos x \sin x)\sqrt{1 + \sin^2 x} \, dx \).

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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 student's ability to apply integration by substitution to trigonometric functions.

This is a standard integration problem found in introductory calculus courses, testing the ability to recognize a function and its derivative.

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