Get free access to over 100,000 answers and learning tools with WyzAnt!



Search 82,201 tutors
FIND TUTORS

Properties of Integrals

Here is a list of properties that can be applied when finding the integral of a function. These properties are mostly derived from the Riemann Sum approach to integration.

Additive Properties

When integrating a function over two intervals where the upper bound of the first is the same as the first, the integrands can be combined. Integrands can also be split into two intervals that hold the same conditions.

If the upper and lower bound are the same, the area is 0.

If an interval is backwards, the area is the opposite sign.

Multiplying by a Constant "c"

Constants, such as coefficients, can be distributed out of the integrand and multiplied afterwards.

Integrating a Sum

The integral of a sum can be split up into two integrands and added together

Finding Total Area Within an Interval

To find the total area, use the absolute value of the integrand.

Inequalities

Sign up for free to access more calculus resources like . WyzAnt Resources features blogs, videos, lessons, and more about calculus and over 250 other subjects. Stop struggling and start learning today with thousands of free resources!
Don't wait until it's too late! Get help from our calculus tutors.
Don V.
Contact Now

Message Don V.

Send Don V. a message explaining your needs and you will receive a response by email.

Please enter the tutor's email address.
Please enter the student's email address.
Please describe how you heard about us.
I have read and agree to the terms of use. *
Jac S.
Contact Now

Message Jac S.

Send Jac S. a message explaining your needs and you will receive a response by email.

Please enter the tutor's email address.
Please enter the student's email address.
Please describe how you heard about us.
I have read and agree to the terms of use. *
Jonathan S.
Contact Now

Message Jonathan S.

Send Jonathan S. a message explaining your needs and you will receive a response by email.

Please enter the tutor's email address.
Please enter the student's email address.
Please describe how you heard about us.
I have read and agree to the terms of use. *