Math Ladder

Integrals worksheets Grade 12

Antiderivatives, u-substitution, definite integrals, area under and between curves, and average value.

  1. Antiderivatives with the power ruleFind indefinite integrals of polynomials with the power rule, adding + C.
  2. Integrals of 1/x, eˣ, sin and cosFind antiderivatives of 1/x, eˣ, sin x and cos x.
  3. Integration by u-substitutionIntegrate by choosing u as the inside function and rewriting in u.
  4. Evaluating definite integralsEvaluate definite integrals with F(b) − F(a).
  5. Area under a curveFind the area between a curve and the x-axis with a definite integral.
  6. Area between two curvesFind where two curves cross, then integrate top minus bottom.
  7. Average value of a functionFind the average value of a function on an interval.

Unit packet

One two-sided worksheet for every topic, then the unit test, with the answer key at the back. Fresh each time.

Unit test

Two problems from every topic. Pass it and move up to the next unit.