Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 3851 | $$ $$ | 1 |
| 3852 | $$ $$ | 1 |
| 3853 | $$ $$ | 1 |
| 3854 | $$ $$ | 1 |
| 3855 | $$ $$ | 1 |
| 3856 | $$ $$ | 1 |
| 3857 | $$ $$ | 1 |
| 3858 | $$ $$ | 1 |
| 3859 | $$ $$ | 1 |
| 3860 | $$ \displaystyle\int \dfrac{1}{\left(2x+1\right){\cdot}\sqrt{{x}^{2}+1}}\, \mathrm d x $$ | 1 |
| 3861 | $$ \displaystyle\int \dfrac{1}{9{\cdot}{\left(\cos\left(x\right)\right)}^{2}-16{\cdot}{\left(\sin\left(x\right)\right)}^{2}}\, \mathrm d x $$ | 1 |
| 3862 | $$ \displaystyle\int \dfrac{2+2{\cdot}\cosh\left(x\right)-\sinh\left(x\right)}{2+2{\cdot}\cosh\left(x\right)+\sinh\left(x\right)}\, \mathrm d x $$ | 1 |
| 3863 | $$ \displaystyle\int \sin\left(3x\right)-\dfrac{1}{2}\, \mathrm d x $$ | 1 |
| 3864 | $$ \displaystyle\int^{5\pi/18}_{\pi/18} \sin\left(3x\right)-\dfrac{1}{2}\, \mathrm d x $$ | 1 |
| 3865 | $$ \displaystyle\int \dfrac{4}{x{\cdot}{\left(\ln\left(5x\right)\right)}^{7}}\, \mathrm d x $$ | 1 |
| 3866 | $$ $$ | 1 |
| 3867 | $$ $$ | 1 |
| 3868 | $$ $$ | 1 |
| 3869 | $$ $$ | 1 |
| 3870 | $$ $$ | 1 |
| 3871 | $$ $$ | 1 |
| 3872 | $$ $$ | 1 |
| 3873 | $$ $$ | 1 |
| 3874 | $$ $$ | 1 |
| 3875 | $$ $$ | 1 |
| 3876 | $$ $$ | 1 |
| 3877 | $$ $$ | 1 |
| 3878 | $$ $$ | 1 |
| 3879 | $$ \displaystyle\int \dfrac{1-4x+8{x}^{2}-8{x}^{3}}{{x}^{4}{\cdot}{\left(2{x}^{2}-2x+1\right)}^{2}}\, \mathrm d x $$ | 1 |
| 3880 | $$ \displaystyle\int x{\cdot}{\left(1+{x}^{2}\right)}^{\frac{1}{3}}\, \mathrm d x $$ | 1 |
| 3881 | $$ \displaystyle\int^{2\pi}_{\pi/2} x{\cdot}{\left(1+{x}^{2}\right)}^{\frac{1}{3}}\, \mathrm d x $$ | 1 |
| 3882 | $$ \displaystyle\int^{3}_{0} 15{\cdot}\left(3-x\right){\cdot}2{\pi}{\cdot}x\, \mathrm d x $$ | 1 |
| 3883 | $$ \displaystyle\int^{1}_{0} \dfrac{3{x}^{3}-{x}^{2}+2x-4}{s}{\cdot}qsq{\cdot}\sqrt{t}{\cdot}t{\cdot}\left({x}^{2}-3x+2\right)\, \mathrm d x $$ | 1 |
| 3884 | $$ \displaystyle\int \dfrac{{x}^{2}}{sq{\cdot}\sqrt{t}{\cdot}\left({x}^{2}-1\right)}\, \mathrm d x $$ | 1 |
| 3885 | $$ \displaystyle\int \dfrac{{x}^{2}}{\sqrt{{x}^{2}-1}}\, \mathrm d x $$ | 1 |
| 3886 | $$ \displaystyle\int \dfrac{{\left(\ln\left(x\right)\right)}^{0.5}}{x}\, \mathrm d x $$ | 1 |
| 3887 | $$ \displaystyle\int^{3}_{2} \dfrac{x}{\sqrt{{x}^{2}+x}}\, \mathrm d x $$ | 1 |
| 3888 | $$ $$ | 1 |
| 3889 | $$ $$ | 1 |
| 3890 | $$ $$ | 1 |
| 3891 | $$ \displaystyle\int^{3}_{2} \left(x+1\right){\cdot}\left(3x-5\right)\, \mathrm d x $$ | 1 |
| 3892 | $$ \displaystyle\int^{0}_{8} 13.201{\mathrm{e}}^{-0.003}\, \mathrm d x $$ | 1 |
| 3893 | $$ \displaystyle\int^{8}_{0} 13.201{\mathrm{e}}^{-0.003}\, \mathrm d x $$ | 1 |
| 3894 | $$ \displaystyle\int^{2\pi}_{0} 16{\cdot}\cos\left(x\right)-4{\cdot}{\left(\cos\left(x\right)\right)}^{2}{\cdot}\sin\left(x\right)\, \mathrm d x $$ | 1 |
| 3895 | $$ \displaystyle\int 16{\cdot}\cos\left(x\right)-4{\cdot}{\left(\cos\left(x\right)\right)}^{2}{\cdot}\sin\left(x\right)\, \mathrm d x $$ | 1 |
| 3896 | $$ \displaystyle\int^{2}_{0} \dfrac{3}{8}{\cdot}{x}^{3}\, \mathrm d x $$ | 1 |
| 3897 | $$ $$ | 1 |
| 3898 | $$ $$ | 1 |
| 3899 | $$ $$ | 1 |
| 3900 | $$ $$ | 1 |
