How To Do Just About Everything
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Knowing how to find indefinite integral and antiderivatives of functions is an important tenant of Calculus, but frustrating since there isn't anything you can really do with them yet except write equations. The beauty and appeal of definite integrals is in the application. They can be used to find area under a curve, volume of three-dimensional objects and any number of real life problems.
figure 1.1
Find your interval. In figure 1.1 this is point a (1) to point b (2). Your intervals are generally going to be given to you already in problem statements. The interval is going to give you the width.
figure 1.2
Write out your equation as shown in figure 1.2, the lowest point on the interval always goes on the bottom of the integrand and the highest goes on the top.
figure 1.3
Find the antiderivative of your function as in figure 1.3.
figure 1.4
Since this is a definite integral, we need notation to show this instead of writing +C at the end like you would with an indefinite integral. This notation is used in figure 1.4
equation 1.1
Use equation 1.1.
figure 1.5
Substitute interval values in to equation 1.1 as shown in figure 1.5.
Novice 
