Integrals
Definite Integrals are seen as...
Integrals find the net area under the f(x). The "a" and "b" stand for the lower and upper limit respectively. They can be seen as the starting and stopping point of the area you are evaluating. Sometimes you can be given other boundaries that you must take into account when finding your net area. The area above the x-axis will be seen as positive, while the area below the x-axis will be seen as negative. |
In order to solve an integral, you need to check if simplifying with distribution, the use of a property, or U-substitution can help you. After you have checked that and followed those steps, you use f(x) and add a power and then divide by that new power to that piece of the function. Go through each part of the function and you get the indefinite integral. To find the definite integral, you put the upper limit value into the solved integral and then you subtract that from the integral with the lower limit value in it.