1. $\int\limits_{0}^{\frac{\pi}{2}}sin2x\sqrt{cosx}dx$
2. $\int\limits_{0}^{\frac{\pi}{2}}e^{sin^{2}x}sinxcos^{3}xdx$
3. $\int\limits_{0}^{\frac{\pi}{2}}\sqrt[10]{1-cos^{5}x}sinxcos^{9}xdx$
4. $\int\limits_{ln2}^{ln5}\frac{dx}{(10e^{-x}-1)\sqrt{e^{x}-1}}$
5. $\int\limits_{\frac{3\pi}{4}}^{\frac{\pi}{4}}(tan^{2}x-tanx)e^{-x}dx$
6. $\int\limits_{\frac{-1}{2}}^{0}\frac{dx}{1+\sqrt{-x(1+x)}}$
7. $\int\limits_{-1}^{1}\frac{dx}{1+x+x^{2}+\sqrt{x^{4}+3x^{2}+1}}$
8. $\int\limits_{2}^{4}\frac{\sqrt{ln(9-x)}}{\sqrt{ln(9-x)}+\sqrt{ln(3+x)}}dx$
9. $\int\limits_{\frac{\pi}{6}}^{\frac{\pi}{4}}\frac{cos^{2}x}{sin^{3}xsin(x+\frac{\pi}{4})}dx$
10. $\int\limits_{0}^{3ln2}\frac{dx}{(\sqrt[3]{e^{x}}+2)^{2}}$
11. $\int\limits_{1}^{e}\frac{ln^{2}x+lnx}{(lnx+x+1)^{2}}dx$
12. $\int\limits_{ln2}^{ln3}\frac{e^{2x}dx}{e^{x}-1+\sqrt{e^{x}-2}}$
13. $\int\limits_{0}^{1}\frac{dx}{\sqrt[5]{(1+x^{5})^{6}}}$