Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 7001 | $$ $$ | 1 |
| 7002 | $$ $$ | 1 |
| 7003 | $$ $$ | 1 |
| 7004 | $$ $$ | 1 |
| 7005 | $$ $$ | 1 |
| 7006 | $$ $$ | 1 |
| 7007 | $$ $$ | 1 |
| 7008 | $$ $$ | 1 |
| 7009 | $$ $$ | 1 |
| 7010 | $$ $$ | 1 |
| 7011 | $$ $$ | 1 |
| 7012 | $$ $$ | 1 |
| 7013 | $$ $$ | 1 |
| 7014 | $$ $$ | 1 |
| 7015 | $$ $$ | 1 |
| 7016 | $$ $$ | 1 |
| 7017 | $$ $$ | 1 |
| 7018 | $$ $$ | 1 |
| 7019 | $$ $$ | 1 |
| 7020 | $$ $$ | 1 |
| 7021 | $$ $$ | 1 |
| 7022 | $$ $$ | 1 |
| 7023 | $$ $$ | 1 |
| 7024 | $$ $$ | 1 |
| 7025 | $$ $$ | 1 |
| 7026 | $$ $$ | 1 |
| 7027 | $$ $$ | 1 |
| 7028 | $$ $$ | 1 |
| 7029 | $$ $$ | 1 |
| 7030 | $$ $$ | 1 |
| 7031 | $$ $$ | 1 |
| 7032 | $$ $$ | 1 |
| 7033 | $$ $$ | 1 |
| 7034 | $$ $$ | 1 |
| 7035 | $$ $$ | 1 |
| 7036 | $$ $$ | 1 |
| 7037 | $$ \displaystyle\int {\mathrm{e}}^{2x}+\dfrac{1}{x}\, \mathrm d x $$ | 1 |
| 7038 | $$ \displaystyle\int^{2}_{1} \left(3{x}^{2}+2\right){\cdot}{\left(5{x}^{3}+10x\right)}^{4}\, \mathrm d x $$ | 1 |
| 7039 | $$ \displaystyle\int \left(3{x}^{2}+2\right){\cdot}{\left(5{x}^{3}+10x\right)}^{4}\, \mathrm d x $$ | 1 |
| 7040 | $$ \displaystyle\int 2{\cdot}\cos\left(x\right){\cdot}x{\cdot}\cos\left(3\right){\cdot}x\, \mathrm d x $$ | 1 |
| 7041 | $$ \displaystyle\int \dfrac{1}{{{\pi}}^{2}}{\cdot}\ln\left({x}^{2}\right){\cdot}{\left({x}^{2}-1\right)}^{-1}\, \mathrm d x $$ | 1 |
| 7042 | $$ \displaystyle\int^{1}_{0} \dfrac{1}{2{\cdot}\sqrt{3}-(x{\cdot}\sqrt{x+1})}\, \mathrm d x $$ | 1 |
| 7043 | $$ \displaystyle\int 2{{\pi}}^{-2}{\cdot}\ln\left(x\right){\cdot}{\left(\left(1+x\right){\cdot}\left(1-x\right)\right)}^{-1}\, \mathrm d x $$ | 1 |
| 7044 | $$ \displaystyle\int \sqrt{x}{\cdot}\sqrt{1-x}\, \mathrm d x $$ | 1 |
| 7045 | $$ \displaystyle\int {\mathrm{e}}^{4x}{\cdot}\sqrt{1+{\mathrm{e}}^{2x}}\, \mathrm d x $$ | 1 |
| 7046 | $$ \displaystyle\int \dfrac{{\mathrm{e}}^{\frac{-1}{{x}^{2}}-(\frac{1}{1+{x}^{2}})-\frac{1}{{x}^{2}}}}{1+{x}^{2}}\, \mathrm d x $$ | 1 |
| 7047 | $$ \displaystyle\int \dfrac{\sqrt{1+{x}^{2}}}{{x}^{2}}\, \mathrm d x $$ | 1 |
| 7048 | $$ \displaystyle\int {\left(\sqrt{x}\right)}^{7}+1\, \mathrm d x $$ | 1 |
| 7049 | $$ \displaystyle\int x{\cdot}\left(\sqrt{x}-1\right)\, \mathrm d x $$ | 1 |
| 7050 | $$ \displaystyle\int x{\cdot}{\left(x-1\right)}^{0.5}\, \mathrm d x $$ | 1 |