$ \displaystyle{\int\limits _{1}^{10}} \dfrac{1}{x^2}\, \mathrm{d} x $

$ \displaystyle{\int\limits _{-1}^{1}} \dfrac{x^4-2x^2+1}{x-1}\, \mathrm{d} x $

$ \displaystyle{\int\limits _{1}^{\mathrm{e}}} 1-\mathrm{e}^x + \dfrac{100}{x} \, \mathrm{d} x $

$ \displaystyle{\int\limits _{6}^{12}} \dfrac{x^2 - 13 x + 19}{x^2 }\, \mathrm{d} x $

$ \displaystyle{\int\limits _{-1}^{1}} (x-1) \cdot (x-2) \cdot (x-3) \, \mathrm{d} x $

$ \displaystyle{\int\limits _{0}^{1}} x \cdot \mathrm{e}^{x^2}\, \mathrm{d} x $

$ \displaystyle{\int\limits _{0}^{\pi}} 3 \sin x \cos^2 x \, \mathrm{d} x $

$ \displaystyle{\int\limits _{0}^{1}} \sin (\pi x -\pi) \, \mathrm{d} x $

$ \displaystyle{\int\limits _{1}^{\sqrt{2}}} x^5 - \dfrac{1}{x} \, \mathrm{d} x $

$ \displaystyle{\int\limits _{0}^{1}} x \sqrt{3x^2 + 5} \, \mathrm{d} x $