Karl's Calculus Tutor: Methods of Integration

If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...

Part of Karl's Calculus Tutorial, this page explains the fundamental theorem of calculus. The site includes examples for the student to work through.

This site provides a detailed overview of intregals, including a focus on the fundamental theorem of calculus to definite and indefinite integrals. Content includes numerous examples and exercises.

This site is a comprehensive review of algebraic basics including equations, the distributive law, the equation of a straight line, quadratic equations, polynomials, the difference of squares, the Pythagorean distance formula, and...

Great application of trig and introduction to the trig functions. Also found here are the Law of Sines and Law of Cosines as well as other trig topics to review.

This site provides a general overview of the derivative of inverse trig trunctions. Content includes a proof, exercises, and more.

Video lesson using the washer method of integration to find the volume of a specific solid of revolution formed by two curves. [8:22]

Video lesson using the disk method of integration to derive the formula for the volume of a sphere. [8:59]

In this calculus worksheet, students solve problems using integration by partial fractions. They add fractions to get a common denominator, then take the derivative. There are 20 questions with an answer key.

Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and...