Vault Of Euclid

Integral Yielding an Inverse Tangent

Trigonometric and inverse trigonometric functions warmup

\[ \int \frac{dx}{4+9x^2} \]

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What you need first

basic algebraic factorization
standard integration formulas for inverse trigonometric functions
simplifying complex fractions

What this problem tests

Tests the ability to algebraically manipulate an integrand into a standard form and correctly apply the arctangent integration rule.

This is a standard introductory calculus problem for recognizing and applying inverse trigonometric integration formulas.

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