1 / | | 1 | ------- dx | 2 | 16 + x | / 0
Integral(1/(16 + x^2), (x, 0, 1))
/ | | 1 | ------- dx | 2 | 16 + x | /
1 1 ------- = --------------- 2 / 2 \ 16 + x |/-x \ | 16*||---| + 1| \\ 4 / /
/ | | 1 | ------- dx | 2 = | 16 + x | /
/ | | 1 | ---------- dx | 2 | /-x \ | |---| + 1 | \ 4 / | / ---------------- 16
/ | | 1 | ---------- dx | 2 | /-x \ | |---| + 1 | \ 4 / | / ---------------- 16
-x v = --- 4
/ | | 1 | ------ dv | 2 | 1 + v | / atan(v) ------------ = ------- 16 16
/ | | 1 | ---------- dx | 2 | /-x \ | |---| + 1 | \ 4 / /x\ | atan|-| / \4/ ---------------- = ------- 16 4
/x\ atan|-| \4/ C + ------- 4
/ /x\ | atan|-| | 1 \4/ | ------- dx = C + ------- | 2 4 | 16 + x | /
atan(1/4) --------- 4
=
atan(1/4) --------- 4
atan(1/4)/4
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.