NettetIn calculus, an antiderivative, inverse derivative, primitive function, primitive integral or indefinite integral of a function f is a differentiable function F whose derivative is equal to the original function f.This can be stated symbolically as F' = f. The process of solving for antiderivatives is called antidifferentiation (or indefinite integration), and its opposite … NettetIf a Derivative shows the rate of change of a curve & if an Integral shows the area under the curve. Then what is an Antiderivative?
calculus - How to master integration and differentiation?
NettetBasic Integrals 1. ∫undu = un + 1 n + 1 + C, n ≠ −1 2. ∫du u = ln u + C 3. ∫eudu = eu + C 4. ∫audu = au lna + C 5. ∫sinudu = −cosu + C 6. ∫cosudu = sinu + C 7. ∫sec2udu = tanu + C … NettetBasic Integrals 1. ∫undu = un + 1 n + 1 + C, n ≠ −1 2. ∫du u = ln u + C 3. ∫eudu = eu + C 4. ∫audu = au lna + C 5. ∫sinudu = −cosu + C 6. ∫cosudu = sinu + C 7. ∫sec2udu = tanu + C 8. ∫csc2udu = −cotu + C 9. ∫secutanudu = secu + C 10. ∫cscucotudu = −cscu + C 11. ∫tanudu = ln secu + C 12. ∫cotudu = ln sinu + C 13. ∫secudu = ln secu + tanu + C plz rapperswil
5.3 The Fundamental Theorem of Calculus - OpenStax
NettetStart studying AP CALCULUS INTEGRALS AND DERIVATIVE PRACTICE. Learn vocabulary, terms, and more with flashcards, games, and other study tools. Home Subjects. Create. Search. Log in Sign up. ... derivative of velocity v'(t), second derivative of time d'(t) lim x-> ∞. small/big = 0. NettetThe integral is 1 5 x5 1 4 x4 + 3 x3 + C. Whenever you’re working with inde nite inte-grals like this, be sure to write the +C. It signi es that you can add any constant to the … NettetOops. Something went wrong. Please try again. Khan Academy Oops. Something went wrong. Please try again. Uh oh, it looks like we ran into an error. You need to … plz rathenau