\(\int_{\sqrt{x/2}}^{\sqrt{x}} x^3cos(x^2) *dx\)
2.
\(\int_{1/2}^{(\sqrt{2}+2)/4} \sqrt{x-x^2}*dx\)
1-ntegral_(sqrt(x/2))^(sqrt(x)) x^3 cos(x^2) dx = 1/4 (-x sin(x/2)+2 x sin(x)-2 cos(x/2)+2 cos(x))
2-My computer is unable to cope with this one. It only gives Indefinite integral:integral sqrt(x-x^2) dx = (sqrt(-(x-1) x) (sqrt(x-1) sqrt(x) (2 x-1)-log(sqrt(x-1)+sqrt(x))))/(4 sqrt(x-1) sqrt(x))+constant.
SORRY ABOUT THAT.
