Flashcards
Calculus 2
Flashcards do conjunto (38)
- 1(tan x)'\(sec^2 x dx\)
- 2\(\int_{}^{}e^kx dx\)\(\frac{1}{k}\) \(e^kx\) + C
- 3(\(tan^{-1}\) x)'\(\frac{1}{1+x^2}\) dx
- 4(\(sin^{-1}\) x)'\(\frac{1}{\sqrt{1-x^2}}\) dx
- 5sin 2\(\theta\)2sin\(\theta\)cos\(\theta\)
- 6\((sin x)^2\)\(\frac{1-cos2x}{2}\)
- 7\((cos x)^2\)\(\frac{1+cos2x}{2}\)
- 8\(\int_{}^{} tan x\, dx\)- \(\ln{|cosx|} + C \)
- 9Purpose of FTC part IArea under the curve and find antiderivative
- 10Purpose of FTC part IIDifferentiate a function involving integrals
- 11indefinite integralGeneral antiderivative
- 12definite integralArea under the curve
- 13Riemann sum with right endpoints\(\sum_{i=1}^{n} f(a + \frac{b-a}{n}i)\frac{b-a}{n}\)
- 14Sum of n natural numbers\(\frac{n(n+1)}{2}\)
- 15Sum of \(n^2\) natural numbers\(\frac{n(n+1)(2n+1)}{6}\)
- 16Sum of \(n^3\) natural numbers\((\frac{n(n+1)}{2})^2\)
- 17(cot x)'\(-csc^2 x dx\)
- 18(sec x)'\( sec(x)tan(x) dx\)
- 19(csc x)'\(- csc(x)cot(x) dx\)
- 20(cos x)'\( - sin x dx\)
- 21(sin x)'\( cos x dx \)
- 22\(\int_{}^{} sec^2 kx dx \)\(\frac{1}{k}tan(kx) + C\)
- 23\(\int_{}^{} csc^2 kx dx \)\(\frac{-1}{k} cot(kx) + C\)
- 24\(\int_{}^{} sec(kx) tan(kx) dx \)\(\frac{1}{k} sec(kx) + C\)
- 25\(\int_{}^{} csc(kx) cot(kx) dx \)\(\frac{-1}{k} csc(kx) + C \)
- 26\(\int_{}^{}\frac{1}{\sqrt{1-k^2 x^2}} dx \)\(\frac{1}{k} sin^{-1}kx + C \)
- 27\(\int_{}^{} \frac{1}{1+k^2 x^2} dx\)\(\frac{1}{k} tan^{-1}kx + C \)
- 28\(\int_{}^{} \frac{1}{x\sqrt{k^2 x^2 -1}} dx\)\(sec^{-1} kx + C\)
- 29\(e^{kx}\)'\(ke^{kx} dx\)
- 30\(\frac{\ln{x}}{\ln{a}}'\)\(\frac{1}{x \ln{a}} dx\)
- 31\(a^{x} \)'\(a^{x} \ln{a}\)
- 32\(tan^{2}x\)\(sec^{2}x-1\)
- 33\(cos(ax)cos(bx)\)\(\frac{1}{2}(cos(ax+bx)+cos(ax-bx))\)
- 34\(sin(ax)sin(bx)\)\(\frac{1}{2}(cos(ax-bx)-cos(ax+bx))\)
- 35\(sin(ax)cos(bx)\)\(\frac{1}{2}(sin(ax+bx)+(sin(ax-bx))\)
- 36\(log_a x\)\(\frac{\ln{x}}{\ln{a}}\)
- 37\(\int_{}^{} a^{kx} dx\)\(\frac{a^{kx}}{k \ln{a}} + C\)
a > 0
a != 1 - 38\(a^x\)'\(a^x(\ln{a})\)
Informações
- Descrição
- Mathematics (MA1022) FlashCards sobre Calculus 2, criado por MaryAnn VanValkenburg em 28-09-2016.
- Criado por
- MaryAnn VanValkenburg
- Visualizações
- 9
- Avaliação
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