1 / | | _______ | \/ x + 3 | --------- dx | x | / 0
Integral(sqrt(x + 3)/x, (x, 0, 1))
// / ___ _______\ \ || ___ |\/ 3 *\/ 3 + x | | / ||-\/ 3 *acoth|---------------| | | || \ 3 / | | _______ ||------------------------------ for 3 + x > 3| | \/ x + 3 _______ || 3 | | --------- dx = C + 2*\/ 3 + x + 6*|< | | x || / ___ _______\ | | || ___ |\/ 3 *\/ 3 + x | | / ||-\/ 3 *atanh|---------------| | || \ 3 / | ||------------------------------ for 3 + x < 3| \\ 3 /
/ ___\ ___ |2*\/ 3 | oo - 2*\/ 3 *acoth|-------| \ 3 /
=
/ ___\ ___ |2*\/ 3 | oo - 2*\/ 3 *acoth|-------| \ 3 /
oo - 2*sqrt(3)*acoth(2*sqrt(3)/3)
Use the examples entering the upper and lower limits of integration.