Question

If \[F'(x)=f(x)\], which expression gives the indefinite integral of \[f(x)\]?

विकल्प

• \[\int f(x)\,dx=F(x)+C\]

• \[\int f(x)\,dx=C\]

• \[\int f(x)\,dx=F'(x)+C\]

• \[\int f(x)\,dx=f'(x)+C\]

Answer 1

When \[F'(x)=f(x)\], \[F(x)\] is an anti-derivative of \[f(x)\]. All such anti-derivatives are represented by \[F(x)+C\].