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