1 / | | _________ | / 4 - 3*x | / ------- dx | \/ 5*x + 1 | / 0
Integral(sqrt((4 - 3*x)/(5*x + 1)), (x, 0, 1))
/ ____\ / ____\ ____ |\/ 69 | ____ |3*\/ 46 | ___ 23*\/ 15 *asin|------| 23*\/ 15 *asin|--------| 2 \/ 6 \ 23 / \ 23 / - - + ----- - ---------------------- + ------------------------ 5 5 75 75
=
/ ____\ / ____\ ____ |\/ 69 | ____ |3*\/ 46 | ___ 23*\/ 15 *asin|------| 23*\/ 15 *asin|--------| 2 \/ 6 \ 23 / \ 23 / - - + ----- - ---------------------- + ------------------------ 5 5 75 75
-2/5 + sqrt(6)/5 - 23*sqrt(15)*asin(sqrt(69)/23)/75 + 23*sqrt(15)*asin(3*sqrt(46)/23)/75
Use the examples entering the upper and lower limits of integration.