Flashcards

Intégration par parties de puissances de fonction

bonsavoir.be Maths English 10 cards

Cards in this deck (10)

1\[\int f'(x) f(x)^k dx \]\[\frac{f(x)^{k+1}}{k+1} + C\]
2\[\int cos(x) sin² (x) dx \]\[\frac{sin³(x)}{3} + C\]
3\[\int sin(x) cos² (x) dx \]\[- \frac{cos³(x)}{3} + C\]
4\[\int a e^{ax} dx \]\[ e^{ax} + C\]
5\[\int \frac{[ln(x)]^a}{x} dx \]\[ \frac {[ln(x)]^{a+1}}{a+1} + C\]
6\[\int \frac{tg^2(x)}{cos^2(x)} dx \]\[ \frac {tg^3(x)}{3} + C\]
7\[\int f'(x) f(x) e^{\frac {f^2(x)}{2}} dx \]\[ e^{\frac {f^2(x)}{2}} + C \]
8\[\int cos(x) e^{sin(x)}dx \]\[ e^{sin(x)} + C \]
9\[\int x e^{\frac {x^2}{2}} dx \]\[\int x e^{\frac {x^2}{2}} dx \]
10\[\int \frac{tg^2(x)}{cos^2(x)} e^{\frac {tg^3(x)}{3}} dx \]\[ e^{\frac {tg^3(x)}{3}} + C \]