1 / | | cos(x) | ------------ dx | 2 2 | sin (x) + a | / 0
Integral(cos(x)/(sin(x)^2 + a^2), (x, 0, 1))
// /sin(x)\ \ / ||atan|------| | | || \ a / | | cos(x) ||------------ for a != 0| | ------------ dx = C + |< a | | 2 2 || | | sin (x) + a || -1 | | || ------ otherwise | / \\ sin(x) /
/ /sin(1)\ |atan|------| | \ a / <------------ for And(a > -oo, a < oo, a != 0) | a | \ oo otherwise
=
/ /sin(1)\ |atan|------| | \ a / <------------ for And(a > -oo, a < oo, a != 0) | a | \ oo otherwise
Piecewise((atan(sin(1)/a)/a, (a > -oo)∧(a < oo)∧(Ne(a, 0))), (oo, True))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.