Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 3001 | $$ \displaystyle\int sq{\cdot}\sqrt{t}{\cdot}\left(1+2x\right){\cdot}x\, \mathrm d x $$ | 1 |
| 3002 | $$ \displaystyle\int \sqrt{1+2x}{\cdot}x\, \mathrm d x $$ | 1 |
| 3003 | $$ \displaystyle\int \dfrac{1}{1+{\mathrm{e}}^{-x}}\, \mathrm d x $$ | 1 |
| 3004 | $$ \displaystyle\int \dfrac{1}{{\left(\sin\left(x\right)\right)}^{7}}\, \mathrm d x $$ | 1 |
| 3005 | $$ \displaystyle\int^{9}_{2} 4{x}^{2}+7{x}^{3}+{x}^{\frac{-1}{2}}\, \mathrm d x $$ | 1 |
| 3006 | $$ \int^{78}_{cos()} {)}-{\sin{{\left({\sin{{\left({\sin{{\left({\sin{{\left({\sin{{\left({\sin{{\left({\sin{{\left(\sqrt{{\sqrt}}\right)}}}\right)}}}\right)}}}\right)}}}\right)}}}\right)}}}\right.}}} \, d\,x $$ | 1 |
| 3007 | $$ \displaystyle\int \dfrac{3{\cdot}\sin\left(x\right)}{\cos\left(x\right)}\, \mathrm d x $$ | 1 |
| 3008 | $$ \displaystyle\int^{4}_{0} \sqrt{1+{\left(3{x}^{2}-5\right)}^{2}}\, \mathrm d x $$ | 1 |
| 3009 | $$ \displaystyle\int \mathrm{arcsec}\left(x\right)\, \mathrm d x $$ | 1 |
| 3010 | $$ \displaystyle\int \dfrac{x{\cdot}{\left(\tan\left(x\right)\right)}^{-1}}{{\left(1+{x}^{2}\right)}^{3}}\, \mathrm d x $$ | 1 |
| 3011 | $$ \displaystyle\int \dfrac{{\mathrm{e}}^{2x}-{\mathrm{e}}^{-2x}}{{\mathrm{e}}^{2x}+{\mathrm{e}}^{-2x}}\, \mathrm d x $$ | 1 |
| 3012 | $$ \displaystyle\int {x}^{-2}{\cdot}\cos\left({x}^{-1}\right)\, \mathrm d x $$ | 1 |
| 3013 | $$ \displaystyle\int x{\cdot}{\left(x+3\right)}^{3}\, \mathrm d x $$ | 1 |
| 3014 | $$ \displaystyle\int \dfrac{\tan\left(x\right)}{\tan\left(x\right)+1}\, \mathrm d x $$ | 1 |
| 3015 | $$ $$ | 1 |
| 3016 | $$ $$ | 1 |
| 3017 | $$ $$ | 1 |
| 3018 | $$ $$ | 1 |
| 3019 | $$ $$ | 1 |
| 3020 | $$ $$ | 1 |
| 3021 | $$ $$ | 1 |
| 3022 | $$ \displaystyle\int \sin\left(x\right){\cdot}\left(\cot\left(x\right)+\dfrac{1}{\sin\left(3\right)}{\cdot}x\right)\, \mathrm d x $$ | 1 |
| 3023 | $$ $$ | 1 |
| 3024 | $$ $$ | 1 |
| 3025 | $$ $$ | 1 |
| 3026 | $$ $$ | 1 |
| 3027 | $$ $$ | 1 |
| 3028 | $$ $$ | 1 |
| 3029 | $$ \displaystyle\int \dfrac{1}{\sqrt{x}+1}\, \mathrm d x $$ | 1 |
| 3030 | $$ $$ | 1 |
| 3031 | $$ $$ | 1 |
| 3032 | $$ $$ | 1 |
| 3033 | $$ $$ | 1 |
| 3034 | $$ $$ | 1 |
| 3035 | $$ \displaystyle\int \dfrac{1}{25}\, \mathrm d x $$ | 1 |
| 3036 | $$ \displaystyle\int \dfrac{1}{x-300}\, \mathrm d x $$ | 1 |
| 3037 | $$ $$ | 1 |
| 3038 | $$ $$ | 1 |
| 3039 | $$ $$ | 1 |
| 3040 | $$ $$ | 1 |
| 3041 | $$ \displaystyle\int \dfrac{1}{1+{\left(\cot\left(x\right)\right)}^{2.5}}\, \mathrm d x $$ | 1 |
| 3042 | $$ \displaystyle\int^{2}_{0} \dfrac{3}{20}{\cdot}\left(4{x}^{2}-{x}^{3}\right)\, \mathrm d x $$ | 1 |
| 3043 | $$ \displaystyle\int^{2}_{0} \dfrac{x{\cdot}3}{20}{\cdot}\left(4{x}^{2}-{x}^{3}\right)\, \mathrm d x $$ | 1 |
| 3044 | $$ \displaystyle\int^{2}_{0} \dfrac{{x}^{2}{\cdot}3}{20}{\cdot}\left(4{x}^{2}-{x}^{3}\right)\, \mathrm d x $$ | 1 |
| 3045 | $$ \displaystyle\int^{2/3}_{0} \dfrac{3}{20}{\cdot}\left(4{x}^{2}-{x}^{3}\right)\, \mathrm d x $$ | 1 |
| 3046 | $$ \displaystyle\int^{3/4}_{0} \dfrac{3}{20}{\cdot}\left(4{x}^{2}-{x}^{3}\right)\, \mathrm d x $$ | 1 |
| 3047 | $$ \displaystyle\int^{1/2}_{0} \dfrac{3}{20}{\cdot}\left(4{x}^{2}-{x}^{3}\right)\, \mathrm d x $$ | 1 |
| 3048 | $$ $$ | 1 |
| 3049 | $$ $$ | 1 |
| 3050 | $$ $$ | 1 |
