1.\:\:\int x\sin(x)\cos(x)dx
2.\:\:\int x\sin(2x)\cos(3x)dx
3.\:\:\int \frac{2x\sin(x)}{\cos^{3}(x)}
4.\:\:\int \frac{x}{\cos^{2}(x)}dx
5.\:\:\int \sec(2x)\tan(2x)dx
6.\:\:\int \sin^{2}(2x)\cos(2x)dx
7.\:\:\int \frac{x\tan(x)}{\cos^{2}(x)}dx
8.\:\:\int \frac{x\sin^{2}(x)\cot^{2}(x)}{\cos^{4}(x)}dx
9.\:\:\int x\sin(3x)\cos(2x)dx
10.\:\:\int x^{2}\sin(x)\cos(x)dx
