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Properties of the definite integral
As with any other mathematical operation, studying the properties of definite integrals will be a way of kicking the tires and getting a feel for how they work. Not only will this sharpen your understanding of integrals, but it will help to make computations easier down the road.
If you know the integrals of two functions, what is the integral of their sum?
What happens when the bounds of your integral are the same?
By subdividing the stretch of numbers where you are integrating, you can break up an integral.
When you shift a function, what happens to its integral?
What happens when you swap the bounds on an integral?
Watch how some integral properties can actually be used.
Properties of integrals practice problems