Properties of definite integrals

Negative definite integrals

Finding definite integrals using area formulas

Definite integral over a single point

Integrating scaled version of function

Switching bounds of definite integral

Integrating sums of functions

Definite integrals on adjacent intervals

Worked examples: Finding definite integrals using algebraic properties

Worked example: Breaking up the integral's interval

Finding derivative with fundamental theorem of calculus: x is on lower bound

Functions defined by integrals: switched interval

Worked example: Merging definite integrals over adjacent intervals

Finding derivative with fundamental theorem of calculus: x is on both bounds

Functions defined by integrals: challenge problem