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Description
Flashcards by etudes, updated more than 1 year ago
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Created by Lucien S
almost 9 years ago
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Copied by bonsavoir.be
almost 9 years ago
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Copied by etudes
almost 9 years ago
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| Question | Answer |
| \[\int dx\] | x + C |
| \[\int k dx\] | k x + C |
| \[\int x dx\] | \[\frac{1}{2}\ {x^2} + C\] |
| \[\int x^2 dx\] | \[\frac{1}{3}\ {x^3} + C\] |
| \[\int x^3 dx\] | \[\frac{1}{4}\ {x^4} + C\] |
| \[\int x^a dx\] | \[\frac{x^{a+1}}{a+1} + C\] |
| \[\int sin x dx\] | - cos x + C |
| \[\int cos x dx\] | sin x + C |
| \[\int tg x dx\] | - ln (cos x) + C |
| \[\int e^x dx\] | \[e ^x + C\] |
| \[\int e^{-x} dx\] | \[e ^{-x} + C\] |
| \[\int e^{ax} dx\] | \[\frac {e^{ax}}{a} + C\] |
| \[\int cotg x\ dx\] | ln (sin x) + C |
| \[\int\frac{dx}{x}\] | ln x + C |
| \[\int\frac{dx}{x^a}\] | \[\frac{x^{1-a}}{1-a} + C\] |
| \[\int ln x dx\] | (x-1) ln x + C |
| \[\int (f' g) \ dx\] | \[fg - \int f g' dx + C\] |
| \[\int (f + g) \ dx\] | \[\int f dx + \int g \ dx + C\] |
| \[\int (\alpha\ f + \beta\ g) dx\] | \[\alpha \int f dx + \beta \int g \ dx + C\] |
| \[\int \frac{f'}{f^2} dx\] | \[- \frac{1}{f} + C\] |
| \[\int \frac{f'}{f} dx\] | ln f + C |
| \[\int f'* f dx\] | \[ \frac{f^2}{2} + C \] |
| \[\int f'(g(x)) g'(x) dx\] | f(g(x)) + C |
| \[\int \frac{f'}{g}dx\] | \[ \frac{f}{g} - \int f * ( \frac{1}{g})'dx + C\] |
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