Home/Calculus II/Substitution methodSection 4Substitution methodIn this section4.1 Procedure4.2 Substitution in definite integrals4.3 Frequent patternsSubstitution reverses the chain rule.If u=g(x)u=g(x)u=g(x), du=g′(x) dxdu=g'(x)\,dxdu=g′(x)dx, and F′=fF'=fF′=f, thenFormulavizCopy LaTeX∫f(g(x))g′(x) dx=F(g(x))+C.\int f(g(x))g'(x)\,dx=F(g(x))+C.∫f(g(x))g′(x)dx=F(g(x))+C.View detail →
FormulavizCopy LaTeX∫f(g(x))g′(x) dx=F(g(x))+C.\int f(g(x))g'(x)\,dx=F(g(x))+C.∫f(g(x))g′(x)dx=F(g(x))+C.View detail →