Integrals.

13 lessons109 min2 simulations

Integration runs differentiation backwards: given a rate of change, recover the function that produced it. The chapter first builds the indefinite integral, a whole family F(x) + C, and a toolkit for finding it (a table of standard results, substitution, trigonometric identities, partial fractions and integration by parts). It then turns to the definite integral, a single number that measures signed area, and links the two through the fundamental theorem of calculus and a set of properties that make many definite integrals short.

Also called: integration · indefinite integrals · definite integrals · integral calculus