I cannot figure out how to integrate this expression. A root of a root? Trig substitution does not work. My ti 89 says answer is
(4/15)(sqrt(x)+2)(3sqrt(x)-4). Any help is appreciated.
Hello, speedengine!
Answer: .
With "nested" radicals, it often works if we let equal something inside.
Let: u - 2)^2\quad\Rightarrow\quad dx \:=\:2(u-2)\,du" alt=" \:=\u - 2)^2\quad\Rightarrow\quad dx \:=\:2(u-2)\,du" />
Substitute: .
Factor out
Factor out
Since , we have: .
. . .