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Calculus · INT

U-Substitution — Integral of Composite Functions

Let u = g(x), du = g'(x)dx. Rewrite the integral entirely in terms of u. Integrate. Substitute back.

CalculusCommon Core FUN-6.DINTVerified correct ✓

Worked examples

Evaluate ∫₀^2 2x · e^(x²) dx using u-substitution. Round to 4 decimal places.
Answer: 53.5982
Evaluate ∫₀^3 2x · e^(x²) dx using u-substitution. Round to 4 decimal places.
Answer: 8102.0839

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