Integration I: An Overview of Integral Calculus

Lesson Summary: 
Integral Calculus is the study of areas under curves and their application to real world problems. The area under a curve between points $a$ and $b$ are denoted by \begin{equation}\mbox{Area between }a\mbox{ and }b=\int_a^bf(x)\,dx.\end{equation} We discuss definite and indefinite integrals and take a quick look at the Fundamental Theorem of Integral Calculus.