How to Find the Area Over an Interval Using Integrals.

In this instuctable, you will be able to learn how to find the area under the curve using integrals.

• Paper
• Pencil
• Calculator
• Equation
• Interval

The standard form for integrals is in the picture provided.

For example, lets use the equation 9x^2-4x+2. plug this into your f(x).

So lets say you want to find the area between 1 and 5. Plug the value 1 in as your "a" and the value 5 as your "b"

For every 'x' in the equation, you will add n+1 to the exponent. After doing so, you will divide the coefficient (the number in front of that variable) by the new exponent. If there is a number without a variable, remember that it has a variable of x^0.

Example: 9x^2 would now be (9/3)x^3

With the new equation, you can now find the area over the interval. Take your value "b" and plug it into every variable 'x' of the equation. Do the same exact thing for your value "a." After, subtract your answer from the value "b" by your answer from "a" to get the area.

Example: f(b) - f(a)