Definite integrals have limits, which are written above and below the integral sign.

Definite integrals usually produce a value.

\(\displaystyle\boxed{\int_a^b{f'(x)} dx = \Big[f(x)\Big]_a^b = f(b) - f(a)} \)

Due to the subtraction, there is no constant of integration.

Tip: Definite integrals can be done on a calculator using the \(\boxed{\textstyle\int_\square^\square{\square}}\) button. You still need to do the algebraic working to get the marks, but you can check your answer on a calculator.

Definite integrals are used for calculating areas under curves.