Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 3951 | $$ \displaystyle\int \dfrac{1}{\sqrt{x}{\cdot}\left(x+7\right)}\, \mathrm d x $$ | 1 |
| 3952 | $$ \displaystyle\int \sqrt{\cos\left(4\right)}{\cdot}x\, \mathrm d x $$ | 1 |
| 3953 | $$ \int {78}{\sin{{\left({96}+{3}{\exp{{\left({1}\right)}}}\right)}}} \, d\,x $$ | 1 |
| 3954 | $$ \displaystyle\int^{5}_{0} x{\cdot}\left(x-1\right){\cdot}\left(x-2\right){\cdot}\left(x-3\right){\cdot}\left(x-4\right){\cdot}\left(x-5\right)\, \mathrm d x $$ | 1 |
| 3955 | $$ \displaystyle\int^{\pi}_{3} x{\cdot}\left(x-1\right){\cdot}\left(x-2\right){\cdot}\left(x-3\right)\, \mathrm d x $$ | 1 |
| 3956 | $$ $$ | 1 |
| 3957 | $$ \displaystyle\int \sin\left(5x+3\right)\, \mathrm d x $$ | 1 |
| 3958 | $$ \displaystyle\int {\mathrm{e}}^{5x+3}\, \mathrm d x $$ | 1 |
| 3959 | $$ \displaystyle\int {\left(5x+3\right)}^{3}\, \mathrm d x $$ | 1 |
| 3960 | $$ \displaystyle\int {\left(5x\right)}^{3}\, \mathrm d x $$ | 1 |
| 3961 | $$ \displaystyle\int \dfrac{6}{2x-3}\, \mathrm d x $$ | 1 |
| 3962 | $$ \displaystyle\int \dfrac{6x}{2{x}^{2}-3}\, \mathrm d x $$ | 1 |
| 3963 | $$ $$ | 1 |
| 3964 | $$ $$ | 1 |
| 3965 | $$ \displaystyle\int^{10}_{2} \dfrac{1}{2}{\cdot}{x}^{2}-6x\, \mathrm d x $$ | 1 |
| 3966 | $$ \displaystyle\int^{10}_{2} \dfrac{1}{2}{\cdot}{x}^{2}-6x+18\, \mathrm d x $$ | 1 |
| 3967 | $$ \displaystyle\int \dfrac{1}{{x}^{2}+4}\, \mathrm d x $$ | 1 |
| 3968 | $$ \displaystyle\int^{4}_{2} \dfrac{1}{2}{\cdot}{x}^{2}-6x+16\, \mathrm d x $$ | 1 |
| 3969 | $$ \displaystyle\int \dfrac{-\ln\left(1+x\right)}{1+{x}^{2}}\, \mathrm d x $$ | 1 |
| 3970 | $$ \displaystyle\int^{1}_{0} \dfrac{-\ln\left(1+x\right)}{1+{x}^{2}}\, \mathrm d x $$ | 1 |
| 3971 | $$ $$ | 1 |
| 3972 | $$ $$ | 1 |
| 3973 | $$ $$ | 1 |
| 3974 | $$ $$ | 1 |
| 3975 | $$ $$ | 1 |
| 3976 | $$ $$ | 1 |
| 3977 | $$ $$ | 1 |
| 3978 | $$ $$ | 1 |
| 3979 | $$ $$ | 1 |
| 3980 | $$ \displaystyle\int^{\pi}_{0} \dfrac{2}{{\pi}}{\cdot}{\left(\sin\left(x\right)\right)}^{2}{\cdot}\sin\left(nx\right)\, \mathrm d x $$ | 1 |
| 3981 | $$ \displaystyle\int 1-{\mathrm{e}}^{-t}\, \mathrm d x $$ | 1 |
| 3982 | $$ \displaystyle\int 1-{\mathrm{e}}^{-t}\, \mathrm d x $$ | 1 |
| 3983 | $$ \displaystyle\int^{\pi/2}_{0} \ln\left(\tan\left(x\right)\right)\, \mathrm d x $$ | 1 |
| 3984 | $$ \displaystyle\int \dfrac{3}{3-x}\, \mathrm d x $$ | 1 |
| 3985 | $$ $$ | 1 |
| 3986 | $$ $$ | 1 |
| 3987 | $$ $$ | 1 |
| 3988 | $$ \int \frac{{7}}{{\left({8}-{x}\right)}^{{4}}} \, d\,x $$ | 1 |
| 3989 | $$ \int {\left({2}{x}-{1}\right)}^{{3}} \, d\,x $$ | 1 |
| 3990 | $$ \int {\left({2}{x}-{1}\right)}^{{5}} \, d\,x $$ | 1 |
| 3991 | $$ \displaystyle\int {\mathrm{e}}^{-{t}^{3}}\, \mathrm d x $$ | 1 |
| 3992 | $$ \displaystyle\int {\mathrm{e}}^{x}{\cdot}\sin\left(x\right){\cdot}\cos\left(x\right)\, \mathrm d x $$ | 1 |
| 3993 | $$ \displaystyle\int \dfrac{1-2x}{{x}^{3}}\, \mathrm d x $$ | 1 |
| 3994 | $$ \displaystyle\int \dfrac{{\mathrm{e}}^{-2}{\cdot}x}{\dfrac{1{\cdot}1}{5}}\, \mathrm d x $$ | 1 |
| 3995 | $$ \displaystyle\int 6{\mathrm{e}}^{3x}\, \mathrm d x $$ | 1 |
| 3996 | $$ \displaystyle\int {3}^{3x}{\cdot}{3}^{x}\, \mathrm d x $$ | 1 |
| 3997 | $$ \displaystyle\int \dfrac{1}{x{\cdot}\sqrt{{x}^{2}-1}}\, \mathrm d x $$ | 1 |
| 3998 | $$ \displaystyle\int \cos\left(8\right){\cdot}{\mathrm{e}}^{0.2}{\cdot}x\, \mathrm d x $$ | 1 |
| 3999 | $$ \displaystyle\int^{3}_{0} 65+24{\cdot}\sin\left(0.3x\right)\, \mathrm d x $$ | 1 |
| 4000 | $$ \displaystyle\int^{4}_{0} 2{\cdot}{\left(1+5{x}^{3}\right)}^{\frac{1}{2}}\, \mathrm d x $$ | 1 |
