Integral Basics
This term refers to the function we are taking the integral of.
What is the integrand?
A substitution technique that utilizes a function and its derivative.
What is u-substitution?
It is used to find the volume of a solid. It's particularly useful for situations where the solid is formed by rotating a closed two-dimensional region around an axis, but with a hole in the middle.
What is the Washer’s Method?
It is an approximation of a region's area, obtained by adding up the areas of multiple simplified slices of the region.
What is the Riemann sum?
A method of integration that is often useful when two functions are multiplied together.
What is integration by parts?
The nth case in Partial Fractions Integration where the denominator of the integrand contains a repeated linear factor.
What is Partial Integration Case 2?
This mathematical property states that the integral of a constant multiple of a function is the same constant multiplied by the integral of the original function.
What is the constant multiple rule?
A technique by breaking down a complex rational fraction into a sum of simpler rational functions to simplify the integrand.
What is Integration by Partial Fractions?
This represents a family of all possible solutions to a differential equation. It contains an arbitrary constant (or constants) that can take on any value.
What is the Complete Solution?