1 / | | 1 | -------------------- dx | ________ | / 2 \ / 2 | \x - 5/*\/ x - 5 | / 0
Integral(1/((x^2 - 5)*sqrt(x^2 - 5)), (x, 0, 1))
// | 2| \ || -x |x | | ||-------------- for ---- > 1| / || _________ 5 | | || / 2 | | 1 ||5*\/ -5 + x | | -------------------- dx = C + |< | | ________ || I*x | | / 2 \ / 2 ||------------- otherwise | | \x - 5/*\/ x - 5 || ________ | | || / 2 | / ||5*\/ 5 - x | \\ /
1 / | | / 2 2 | | 1 x x | |- -------------- + -------------- for -- > 1 | | _________ 3/2 5 | | / 2 / 2\ | | 5*\/ -5 + x 5*\-5 + x / | < dx | | 2 | | I I*x | | ------------- + ------------- otherwise | | ________ 3/2 | | / 2 / 2\ | \ 5*\/ 5 - x 5*\5 - x / | / 0
=
1 / | | / 2 2 | | 1 x x | |- -------------- + -------------- for -- > 1 | | _________ 3/2 5 | | / 2 / 2\ | | 5*\/ -5 + x 5*\-5 + x / | < dx | | 2 | | I I*x | | ------------- + ------------- otherwise | | ________ 3/2 | | / 2 / 2\ | \ 5*\/ 5 - x 5*\5 - x / | / 0
Integral(Piecewise((-1/(5*sqrt(-5 + x^2)) + x^2/(5*(-5 + x^2)^(3/2)), x^2/5 > 1), (i/(5*sqrt(5 - x^2)) + i*x^2/(5*(5 - x^2)^(3/2)), True)), (x, 0, 1))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.