Campus Monterrey

Derivative Forms Memorize the following derivative forms. 1. d dx

1. Standard Integral Forms These are the so

Common Derivatives And Integrals

Differentiation Formulas

Differentiation Formulas

MATH 141 Fundamental Theorem of Calculus (FTC) Let f : [a, b] → R

If the functions y = f (x) and y = g(x) are differentiable at x and a and b are constants, then: 1. Dx [af (x) + bg(x)] = af 0 (x) + bg 0 (x) 2. Dx [f (x) · g(x)] = f 0 (x) · g(x) + f (x) · g 0 (x)

Diff and Integ Rules Final

 csc u cot u du   csc u  C  tan u du  ln sec u  C   ln cos u  C  cot u du   ln csc u  C  ln sin u  C  sec u du  ln sec u  tan u  C   ln sec u  tan u  C  csc u du   ln csc...

eZ - Repositori UJI - Universitat Jaume I

Math 220 November 8 I. Evaluate thel indefinite integral. 1. ∫ (e3x +

du u = − ln |u| + C = − ln | cos(x)| + C Z

Calculus I Integration: A Very Short Summary Definition

+ C for r 6= −1 r+1 Z Z du = u−1 du = ln |u| + C for r = −1 u Z au au du = +C ln a Z eu du = eu + C Z cos u du = sin u + C Z sin u du = − cos u + C Z sec2 u du = tan u + C Z sec u tan u du = sec u ...

Differentiation Rules Calculus I Integration Formulas Calculus I

Recall from Math 141 Integration Basics Fundamental Theorem of

1 du u6=0 1 Dx loga |u| = 0 < a 6= 1 u ln a dx du Dx sin u = cos u

Développements en séries entières usuels

DERIVATIVES AND INTEGRALS

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Calculus Notes Derivative of an Inverse Given f(a) = b → f