1 / | | 1 | ------------ dx | ________ | x*\/ x - 11 | / 0
Integral(1/(x*sqrt(x - 11)), (x, 0, 1))
// / ____\ \ || ____ |\/ 11 | | ||2*I*\/ 11 *acosh|------| | || | ___ | | / || \\/ x / 11 | | ||------------------------ for --- > 1| | 1 || 11 |x| | | ------------ dx = C + |< | | ________ || / ____\ | | x*\/ x - 11 || ____ |\/ 11 | | | || -2*\/ 11 *asin|------| | / || | ___ | | || \\/ x / | || ---------------------- otherwise | \\ 11 /
____ / ____\ 2*I*\/ 11 *acosh\\/ 11 / -oo*I + ------------------------ 11
=
____ / ____\ 2*I*\/ 11 *acosh\\/ 11 / -oo*I + ------------------------ 11
-oo*i + 2*i*sqrt(11)*acosh(sqrt(11))/11
Use the examples entering the upper and lower limits of integration.