2 / | | 5*x | ------------ dx | _________ | / 4 | \/ 16 - x | / 0
Integral((5*x)/sqrt(16 - x^4), (x, 0, 2))
// / 2\ \ || |x | | ||-5*I*acosh|--| | 4| | / || \4 / |x | | | ||-------------- for ---- > 1| | 5*x || 2 16 | | ------------ dx = C + |< | | _________ || / 2\ | | / 4 || |x | | | \/ 16 - x || 5*asin|--| | | || \4 / | / || ---------- otherwise | \\ 2 /
2 / | | / 4 | | -5*I*x x | |---------------- for -- > 1 | | _________ 16 | | / 4 | | / x | |4* / -1 + -- | | \/ 16 | < dx | | 5*x | |--------------- otherwise | | ________ | | / 4 | | / x | |4* / 1 - -- | | \/ 16 | \ | / 0
=
2 / | | / 4 | | -5*I*x x | |---------------- for -- > 1 | | _________ 16 | | / 4 | | / x | |4* / -1 + -- | | \/ 16 | < dx | | 5*x | |--------------- otherwise | | ________ | | / 4 | | / x | |4* / 1 - -- | | \/ 16 | \ | / 0
Integral(Piecewise((-5*i*x/(4*sqrt(-1 + x^4/16)), x^4/16 > 1), (5*x/(4*sqrt(1 - x^4/16)), True)), (x, 0, 2))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.