(19) \(\displaystyle{ \int_{1}^e x^2\log x \ dx }\)

(20) \(\displaystyle{ \int_{2}^{6} \sqrt{2x-3} \ dx }\)

(22) \(\displaystyle{ \int_{-\frac{\pi}{2}}^{0} x\cos 3x \ dx }\)

(24) \(\displaystyle{ \int_{-\frac{1}{2}}^{\frac{\sqrt{3}}{2}} \sqrt{1-x^2} \ dx }\)

(25) \(\displaystyle{ \int_{-\frac{\pi}{3}}^\frac{\pi}{6} \sin^3 x \ dx }\)