Substitution rule for indefinite integrals for JEE

Formula

\[\int f(g(x))g'(x)\,dx=\int f(t)\,dt\quad \text{with } t=g(x)\]

Variables: \(t\) is the substituted variable.

Conditions: \(g\) differentiable and substitution valid on the domain.

u-substitution in composite integrands.