Integration by Substitution

★★★★☆Undergraduate

📖Definition

The reverse of the chain rule, simplifying complex integrals.

📐Formulas

∈t f(g(x)) · g'(x) dx = ∈t f(u) du

Substitution formula (u = g(x))

✏️Examples

예제 1★★★☆☆

Find ∫ 2x·e^(x²) dx.

예제 2★★★☆☆

Find ∫ cos(3x) dx.

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#analysis#calculus#integration#technique