Awesome! Youre here because your succeeded in differential calculus! So your next step is integral calculus!

 

 

 

     Sir Isaac Newton is said to be the Father of Integral calculus. But He and Gottfried Wilhelm Leibniz both came up with the principals that integral calculus is based off of. The cool thing is that both Newton and Leibniz came up with what is now called “The Fundemental Theorem of Calculus” independantly of each other. So great minds do really think alike, right?! 

 

     So what is Integral calculus? Integral calculus is the inverse of differential calculus.  Differential calculus deals with the instantaneous slope of a curve but integral calculus deals with the area underneath a curve between two points. Another way to think of integral calculus is this: in differential calculus we do this operation called a derivative to find the slope of an ordinary function but when we take the integral of a derivative we get back the original function we started out with. This is called integrating. (anti-derivative is also a synonyms for finding the area under a curve). In integral calculus we will learn new techniques to find the area underneath the curve, similar how we learned techniques to take derivatives in differential calculus. Integral calculus requires a tiny bit more creativity than differentiating. We will need to continuously think outside the box when trying to solve these problems. At some points it can get a little confusing but you’ll get the hang of it!