Indefinite integral as antiderivative for JEE

Formula

\[\int f(x)\,dx = F(x)+C \quad \text{where } F'(x)=f(x)\]

Variables: \(F(x)\) is any antiderivative of \(f(x)\); \(C\) is the constant of integration.

Conditions: Applicable where \(f\) admits an antiderivative on the interval considered.

Basic indefinite integration; solving antiderivative-based questions.