A a a dx d x ln 13. The full sized version is 11 pages.

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Ap calculus cheat sheet intermediate value theorem.

Calculus 2 cheat sheet. 2 θθ 18. Washer method about the x axis. X x dx d sin cos 6.

Behind the scenes if you have any problems or just want to say hi you can find us right here. N odd and m even. Sin 2 2sin cos x x x 2 1 cos 1 cos 2xx 2 2 1 sin 1 cos 2xx 2 ex.

If the two one sided limits had been equal then 2 lim x gx would have existed and had the same value. X e x dx d 12. N even and m odd.

X x dx d cos sin 7. Strip 2 secants out and convert rest to tangents using sec 1 tan22x x then use the substitution ux tan. Some continuous functions partial list of continuous functions and the values of x for which they are continuous.

Also every closed endpoint is an extreme. Cheatography is a collection of 3707 cheat sheets and quick references in 25 languages for everything from linux to french. Polynomials for all x.

You get r from measuring the distance of f x to the x axis. Area of circle πr 2. Rational function except for x s that give division by zero.

X nx n 1 dx d 2. X x dx d cot csc 2 9. Calculus ii for dummies cheat sheet by its nature calculus can be intimidating.

X x x dx d csc csc cot 11. F g x f g x g x dx d chain rule 5. If f is continuous over a closed interval then f has a maximum and minimum value over that interval.

Dx is the thickness or width of the disk. Ex tan sec35x xdx 35 2 4 24. 2 g gf fg g f dx d quotient rule 4.

If a function is continuous on a b then it passes through every value between f a and f b. X 2 0 2 intermediate value theorem suppose that fx is continuous on a b and let m be any number between fa and fb. Most of the information here is generally taught in a calculus i course although there is some information that is generally taught in a calculus ii course included as well.

For interval a b is a summation of all the disks between a b. X x dx d tan sec 2 8. 2 1 sin 1 cos2 2 θθ differentiation formulas.

Each integral will be dealt with differently. X x x dx d sec sec tan 10. X x dx d 1 ln 14.

Complete calculus cheat sheet this contains common facts definitions properties of limits derivatives and integrals. 1 2 1 sin x. Fg fg gf dx d product rule 3.

2 lim x gx doesn t exist. Let f and g be continuous functions with f x g x 0 on a b. But you can take some of the fear of studying calculus away by understanding its basic principles such as derivatives and antiderivatives integration and solving compound functions.