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# Fórmulas fundamentales de integración

1. $\int\frac {d} {dx}[f(x)]= f(x)+C$

2. $\int(u+v)dx=\int(u)dx+\int(v)dx$

3. $\int audx = a\int udx$, siendo $a$ una constante

4. $\int u^m du = \frac {u^{m+1}} {m+1} +C$ , $m$ no es igual a 1

5. $\int \frac {du} {u} = In|u|+C$

6. $\int a^u du = \frac {a^u}{Ina}+C$, $a>0,a$ no es igual a 1

7. $\int e^u du = e^u +C$

8. $\int sen u du = -cos u +C$

9. $\int cosudu = senu+C$

10. $\int tanudu = In|secu|+C$

11. $\int cotudu = In|senu|+C$

12. $\int secudu = In|secu+tanu| +C$

13. $\int cscudu = In|cscu-cotu| +C$

14. $\int sec^2udu = tanu+C$

15. $\int csc^2udu = -cotu+C$

16. $\int sec(u)tan(u)du = secu +C$

17. $\int csc(u)cot(u)du = -csc(u)+C$

CH