Vault Of Euclid

Integral of cos(sqrt(x)) / sqrt(x)

Antiderivatives warmup

Find \( \int \frac{\cos \sqrt{x}}{\sqrt{x}} \, dx \).

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What you need first

Integration by substitution
Derivative of the square root function
Antiderivative of the cosine function

What this problem tests

Tests the ability to recognize an inner function and its derivative to apply u-substitution.

This is a standard introductory problem for learning integration by substitution in Calculus I.

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