∫f(g(x))g′(x) dx = ∫f(u) duVariables
- u
- substituted variable
- g
- inner function
Reference details
- Subject
- Calculus
- Topic
- integrals
- Plain text
integral f(g(x))g'(x) dx = integral f(u) du
Calculus · integrals
Rewrites an integral after substituting u = g(x).
∫f(g(x))g′(x) dx = ∫f(u) duintegral f(g(x))g'(x) dx = integral f(u) du