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Definition of an Integral
Properties
Common Integrals
Integration by Subs.
Integration by Parts
Integration by Trig. Subs.
Second Trig. Subs.
Third Trig. Subs.
The integral is a mathematical analysis applied to a function that results in the area bounded by the graph of the function, x axis, and limits of the integral. Integrals can be referred to as anti-derivatives, because the derivative of the integral of a function is equal to the function.
where 
and 
where 
Trigonometric identities can be use with integration substitution to simplify integrals. There are three common substitutions.
To take advantage of the property
Substitute
After substitution
To take advantage of the property
Substitute
After substitute
To take advantage of the property
Substitute
After substitute
