1 / | | _________ | x + \/ 2*x + 3 | --------------- dx | x - 1 | / 0
Integral((x + sqrt(2*x + 3))/(x - 1), (x, 0, 1))
// / ___ _________\ \ || ___ |\/ 5 *\/ 2*x + 3 | | / ||-\/ 5 *acoth|-----------------| | | || \ 5 / | | _________ ||-------------------------------- for 2*x + 3 > 5| | x + \/ 2*x + 3 3 _________ || 5 | | --------------- dx = - + C + x + 2*\/ 2*x + 3 + 10*|< | + log(-2 + 2*x) | x - 1 2 || / ___ _________\ | | || ___ |\/ 5 *\/ 2*x + 3 | | / ||-\/ 5 *atanh|-----------------| | || \ 5 / | ||-------------------------------- for 2*x + 3 < 5| \\ 5 /
Use the examples entering the upper and lower limits of integration.