Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 4001 | $$ \int {x}\sqrt{{x}}+{2} \, d\,x $$ | 1 |
| 4002 | $$ \int {x}+\frac{{2}}{{{2}{x}+{3}}} \, d\,x $$ | 1 |
| 4003 | $$ \int^{+1}_{-1} {x}+\frac{{2}}{{{2}{x}+{3}}} \, d\,x $$ | 1 |
| 4004 | $$ $$ | 1 |
| 4005 | $$ \displaystyle\int^{300}_{0} 44{\cdot}{\left(\dfrac{x}{100}\right)}^{3}{\cdot}{\left(1-\dfrac{x}{300}\right)}^{7}\, \mathrm d x $$ | 1 |
| 4006 | $$ \displaystyle\int \dfrac{1}{1}-{x}^{2}\, \mathrm d x $$ | 1 |
| 4007 | $$ \displaystyle\int \dfrac{1}{1-{x}^{2}}\, \mathrm d x $$ | 1 |
| 4008 | $$ \displaystyle\int x{\cdot}\cos\left(5x\right)\, \mathrm d x $$ | 1 |
| 4009 | $$ \displaystyle\int {\mathrm{e}}^{0.2x}\, \mathrm d x $$ | 1 |
| 4010 | $$ \displaystyle\int x{\cdot}{\mathrm{e}}^{0.2x}\, \mathrm d x $$ | 1 |
| 4011 | $$ \displaystyle\int x{\cdot}{\mathrm{e}}^{-3x}\, \mathrm d x $$ | 1 |
| 4012 | $$ \displaystyle\int \left(x-1\right){\cdot}\sin\left({\pi}{\cdot}x\right)\, \mathrm d x $$ | 1 |
| 4013 | $$ \displaystyle\int \left({x}^{2}+2x\right){\cdot}\cos\left(x\right)\, \mathrm d x $$ | 1 |
| 4014 | $$ \displaystyle\int {x}^{2}{\cdot}\sin\left({\pi}{\cdot}x\right)\, \mathrm d x $$ | 1 |
| 4015 | $$ $$ | 1 |
| 4016 | $$ $$ | 1 |
| 4017 | $$ $$ | 1 |
| 4018 | $$ $$ | 1 |
| 4019 | $$ $$ | 1 |
| 4020 | $$ $$ | 1 |
| 4021 | $$ $$ | 1 |
| 4022 | $$ $$ | 1 |
| 4023 | $$ $$ | 1 |
| 4024 | $$ $$ | 1 |
| 4025 | $$ $$ | 1 |
| 4026 | $$ $$ | 1 |
| 4027 | $$ $$ | 1 |
| 4028 | $$ $$ | 1 |
| 4029 | $$ $$ | 1 |
| 4030 | $$ \displaystyle\int 6{\pi}{\cdot}\cos\left({\pi}{\cdot}x\right)\, \mathrm d x $$ | 1 |
| 4031 | $$ \displaystyle\int {\left(-8{x}^{5}\right)}^{3}\, \mathrm d x $$ | 1 |
| 4032 | $$ \displaystyle\int 7r{\cdot}-3{r}^{4}\, \mathrm d x $$ | 1 |
| 4033 | $$ \displaystyle\int -2x{\cdot}-7{x}^{4}\, \mathrm d x $$ | 1 |
| 4034 | $$ \int \frac{{{2}{x}-{1}}}{{x}} \, d\,x $$ | 1 |
| 4035 | $$ \displaystyle\int {\left(\cos\left(\ln\left(x\right)\right)\right)}^{n}\, \mathrm d x $$ | 1 |
| 4036 | $$ $$ | 1 |
| 4037 | $$ $$ | 1 |
| 4038 | $$ $$ | 1 |
| 4039 | $$ $$ | 1 |
| 4040 | $$ $$ | 1 |
| 4041 | $$ $$ | 1 |
| 4042 | $$ $$ | 1 |
| 4043 | $$ $$ | 1 |
| 4044 | $$ \displaystyle\int^{10}_{0} 0.5{\cdot}10x\, \mathrm d x $$ | 1 |
| 4045 | $$ \displaystyle\int \dfrac{x}{{\left(3-7{x}^{2}\right)}^{5}}\, \mathrm d x $$ | 1 |
| 4046 | $$ \displaystyle\int 2{\cdot}\cos\left({x}^{4}-3\right)\, \mathrm d x $$ | 1 |
| 4047 | $$ \displaystyle\int^{\pi/2}_{0} \dfrac{1}{3+5{x}^{2}}\, \mathrm d x $$ | 1 |
| 4048 | $$ \displaystyle\int^{100}_{0} \dfrac{\cos\left(xt\right)}{\sqrt{{t}^{2}+1}}\, \mathrm d x $$ | 1 |
| 4049 | $$ \displaystyle\int^{283}_{293} \dfrac{1}{{x}^{4}-{263}^{4}}\, \mathrm d x $$ | 1 |
| 4050 | $$ \displaystyle\int^{293}_{283} \dfrac{1}{{x}^{4}-{263}^{4}}\, \mathrm d x $$ | 1 |
