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 | $$ \displaystyle\int^{1}_{0} \sqrt{x}\, \mathrm d x $$ | 1 |
| 7003 | $$ \displaystyle\int \cos\left({x}^{2}\right)\, \mathrm d x $$ | 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 | $$ \displaystyle\int 9{\cdot}\sqrt{x}-6{x}^{\frac{-2}{3}}\, \mathrm d x $$ | 1 |
| 7017 | $$ \displaystyle\int^{2}_{1} \dfrac{2{\pi}}{3}{\cdot}\left({x}^{4}+2{x}^{2}+2\right){\cdot}{\left({x}^{2}+2\right)}^{\frac{1}{2}}\, \mathrm d x $$ | 1 |
| 7018 | $$ \displaystyle\int^{2}_{1} \dfrac{2{\pi}}{3}{\cdot}\left({x}^{2}+2\right){\cdot}{\left({x}^{2}+2\right)}^{\frac{1}{2}}{\cdot}\left(1+{x}^{2}\right)\, \mathrm d x $$ | 1 |
| 7019 | $$ \int \frac{{1}}{\sqrt{{{x}^{{2}}-{2}}}} \, d\,x $$ | 1 |
| 7020 | $$ \int \frac{{1}}{\sqrt{{{3}-{x}^{{2}}}}} \, d\,x $$ | 1 |
| 7021 | $$ \displaystyle\int {x}^{\frac{5}{2}}+4{x}^{-\frac{1}{3}}+\mathrm{e}{\cdot}{\pi}-\dfrac{1}{\ln\left(2\right)}\, \mathrm d x $$ | 1 |
| 7022 | $$ \displaystyle\int {x}^{\frac{5}{2}}+4{x}^{-\frac{1}{3}}+\mathrm{e}{\cdot}{\pi}-\dfrac{1}{\ln\left(2\right)}\, \mathrm d x $$ | 1 |
| 7023 | $$ \displaystyle\int -4{x}^{-\frac{1}{3}}\, \mathrm d x $$ | 1 |
| 7024 | $$ \displaystyle\int 2x{\cdot}\sin\left({x}^{2}-4\right)\, \mathrm d x $$ | 1 |
| 7025 | $$ \displaystyle\int 9x{\cdot}{\left(3x+2\right)}^{3}\, \mathrm d x $$ | 1 |
| 7026 | $$ \displaystyle\int 9x{x}^{3}\, \mathrm d x $$ | 1 |
| 7027 | $$ \displaystyle\int 9x{x}^{3}\, \mathrm d x $$ | 1 |
| 7028 | $$ \displaystyle\int {x}^{3}{\cdot}\ln\left(x\right)\, \mathrm d x $$ | 1 |
| 7029 | $$ \displaystyle\int -2{\cdot}\sin\left(x\right)\, \mathrm d x $$ | 1 |
| 7030 | $$ \displaystyle\int 2{\cdot}\sin\left(x\right)\, \mathrm d x $$ | 1 |
| 7031 | $$ \displaystyle\int {\mathrm{e}}^{x}{\cdot}\sin\left(2x\right)\, \mathrm d x $$ | 1 |
| 7032 | $$ $$ | 1 |
| 7033 | $$ $$ | 1 |
| 7034 | $$ $$ | 1 |
| 7035 | $$ $$ | 1 |
| 7036 | $$ $$ | 1 |
| 7037 | $$ $$ | 1 |
| 7038 | $$ $$ | 1 |
| 7039 | $$ $$ | 1 |
| 7040 | $$ $$ | 1 |
| 7041 | $$ \int \frac{{{\sin{{x}}}{\cos{{x}}}}}{{{\left({\cos{{x}}}\right)}^{{2}}}}{\left({\sin{{x}}}+{1}\right)} \, d\,x $$ | 1 |
| 7042 | $$ \int \frac{{{\sin{{x}}}{\cos{{x}}}}}{{{\left({\left({\cos{{x}}}\right)}^{{2}}\right)}{\sin{{x}}}+{1}}} \, d\,x $$ | 1 |
| 7043 | $$ \int \frac{{{\sin{{x}}}{\cos{{x}}}}}{{{\left({\cos{{x}}}\right)}^{{2}}}}/{\left({\sin{{x}}}+{1}\right)} \, d\,x $$ | 1 |
| 7044 | $$ \int \frac{{\tan{{x}}}}{{{\sin{{x}}}+{1}}} \, d\,x $$ | 1 |
| 7045 | $$ $$ | 1 |
| 7046 | $$ $$ | 1 |
| 7047 | $$ $$ | 1 |
| 7048 | $$ $$ | 1 |
| 7049 | $$ $$ | 1 |
| 7050 | $$ $$ | 1 |
