1 / | | 1 | ------------ dx | 3*cos(x) + 2 | / 0
Integral(1/(3*cos(x) + 2), (x, 0, 1))
/ ___ / ___ /x\\ ___ / ___ /x\\ | \/ 5 *log|- \/ 5 + tan|-|| \/ 5 *log|\/ 5 + tan|-|| | 1 \ \2// \ \2// | ------------ dx = C - --------------------------- + ------------------------- | 3*cos(x) + 2 5 5 | /
___ / / ___ \\ ___ / ___\ ___ / / ___\\ ___ / ___ \ \/ 5 *\pi*I + log\\/ 5 - tan(1/2)// \/ 5 *log\\/ 5 / \/ 5 *\pi*I + log\\/ 5 // \/ 5 *log\\/ 5 + tan(1/2)/ - ------------------------------------ - ---------------- + ------------------------- + --------------------------- 5 5 5 5
=
___ / / ___ \\ ___ / ___\ ___ / / ___\\ ___ / ___ \ \/ 5 *\pi*I + log\\/ 5 - tan(1/2)// \/ 5 *log\\/ 5 / \/ 5 *\pi*I + log\\/ 5 // \/ 5 *log\\/ 5 + tan(1/2)/ - ------------------------------------ - ---------------- + ------------------------- + --------------------------- 5 5 5 5
-sqrt(5)*(pi*i + log(sqrt(5) - tan(1/2)))/5 - sqrt(5)*log(sqrt(5))/5 + sqrt(5)*(pi*i + log(sqrt(5)))/5 + sqrt(5)*log(sqrt(5) + tan(1/2))/5
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.