Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 5951 | $$ $$ | 1 |
| 5952 | $$ $$ | 1 |
| 5953 | $$ $$ | 1 |
| 5954 | $$ $$ | 1 |
| 5955 | $$ \displaystyle\int \dfrac{1}{\sqrt{x}{\cdot}\left(x+7\right)}\, \mathrm d x $$ | 1 |
| 5956 | $$ \displaystyle\int \sqrt{\cos\left(4\right)}{\cdot}x\, \mathrm d x $$ | 1 |
| 5957 | $$ \int {78}{\sin{{\left({96}+{3}{\exp{{\left({1}\right)}}}\right)}}} \, d\,x $$ | 1 |
| 5958 | $$ \displaystyle\int^{5}_{0} x{\cdot}\left(x-1\right){\cdot}\left(x-2\right){\cdot}\left(x-3\right){\cdot}\left(x-4\right){\cdot}\left(x-5\right)\, \mathrm d x $$ | 1 |
| 5959 | $$ \displaystyle\int^{\pi}_{3} x{\cdot}\left(x-1\right){\cdot}\left(x-2\right){\cdot}\left(x-3\right)\, \mathrm d x $$ | 1 |
| 5960 | $$ $$ | 1 |
| 5961 | $$ \displaystyle\int \sin\left(5x+3\right)\, \mathrm d x $$ | 1 |
| 5962 | $$ \displaystyle\int {\mathrm{e}}^{5x+3}\, \mathrm d x $$ | 1 |
| 5963 | $$ \displaystyle\int {\left(5x+3\right)}^{3}\, \mathrm d x $$ | 1 |
| 5964 | $$ \displaystyle\int {\left(5x\right)}^{3}\, \mathrm d x $$ | 1 |
| 5965 | $$ \displaystyle\int \dfrac{6}{2x-3}\, \mathrm d x $$ | 1 |
| 5966 | $$ \displaystyle\int \dfrac{6x}{2{x}^{2}-3}\, \mathrm d x $$ | 1 |
| 5967 | $$ $$ | 1 |
| 5968 | $$ $$ | 1 |
| 5969 | $$ \displaystyle\int^{10}_{2} \dfrac{1}{2}{\cdot}{x}^{2}-6x\, \mathrm d x $$ | 1 |
| 5970 | $$ \displaystyle\int^{10}_{2} \dfrac{1}{2}{\cdot}{x}^{2}-6x+18\, \mathrm d x $$ | 1 |
| 5971 | $$ \displaystyle\int \dfrac{1}{{x}^{2}+4}\, \mathrm d x $$ | 1 |
| 5972 | $$ \displaystyle\int^{4}_{2} \dfrac{1}{2}{\cdot}{x}^{2}-6x+16\, \mathrm d x $$ | 1 |
| 5973 | $$ \displaystyle\int \dfrac{-\ln\left(1+x\right)}{1+{x}^{2}}\, \mathrm d x $$ | 1 |
| 5974 | $$ \displaystyle\int^{1}_{0} \dfrac{-\ln\left(1+x\right)}{1+{x}^{2}}\, \mathrm d x $$ | 1 |
| 5975 | $$ $$ | 1 |
| 5976 | $$ $$ | 1 |
| 5977 | $$ $$ | 1 |
| 5978 | $$ $$ | 1 |
| 5979 | $$ $$ | 1 |
| 5980 | $$ $$ | 1 |
| 5981 | $$ $$ | 1 |
| 5982 | $$ $$ | 1 |
| 5983 | $$ $$ | 1 |
| 5984 | $$ \displaystyle\int^{\pi}_{0} \dfrac{2}{{\pi}}{\cdot}{\left(\sin\left(x\right)\right)}^{2}{\cdot}\sin\left(nx\right)\, \mathrm d x $$ | 1 |
| 5985 | $$ \displaystyle\int 1-{\mathrm{e}}^{-t}\, \mathrm d x $$ | 1 |
| 5986 | $$ \displaystyle\int 1-{\mathrm{e}}^{-t}\, \mathrm d x $$ | 1 |
| 5987 | $$ \displaystyle\int^{\pi/2}_{0} \ln\left(\tan\left(x\right)\right)\, \mathrm d x $$ | 1 |
| 5988 | $$ \displaystyle\int \dfrac{3}{3-x}\, \mathrm d x $$ | 1 |
| 5989 | $$ $$ | 1 |
| 5990 | $$ $$ | 1 |
| 5991 | $$ $$ | 1 |
| 5992 | $$ \int \frac{{7}}{{\left({8}-{x}\right)}^{{4}}} \, d\,x $$ | 1 |
| 5993 | $$ \int {\left({2}{x}-{1}\right)}^{{3}} \, d\,x $$ | 1 |
| 5994 | $$ \int {\left({2}{x}-{1}\right)}^{{5}} \, d\,x $$ | 1 |
| 5995 | $$ \displaystyle\int {\mathrm{e}}^{-{t}^{3}}\, \mathrm d x $$ | 1 |
| 5996 | $$ \displaystyle\int {\mathrm{e}}^{x}{\cdot}\sin\left(x\right){\cdot}\cos\left(x\right)\, \mathrm d x $$ | 1 |
| 5997 | $$ \displaystyle\int \dfrac{1-2x}{{x}^{3}}\, \mathrm d x $$ | 1 |
| 5998 | $$ \displaystyle\int \dfrac{{\mathrm{e}}^{-2}{\cdot}x}{\dfrac{1{\cdot}1}{5}}\, \mathrm d x $$ | 1 |
| 5999 | $$ \displaystyle\int 6{\mathrm{e}}^{3x}\, \mathrm d x $$ | 1 |
| 6000 | $$ \displaystyle\int {3}^{3x}{\cdot}{3}^{x}\, \mathrm d x $$ | 1 |
