Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 4001 | $$ \displaystyle\int^{2.71}_{1} \dfrac{1}{x}\, \mathrm d x $$ | 1 |
| 4002 | $$ \displaystyle\int^{2.718}_{1} \dfrac{1}{x}\, \mathrm d x $$ | 1 |
| 4003 | $$ \displaystyle\int^{2.7182}_{1} \dfrac{1}{x}\, \mathrm d x $$ | 1 |
| 4004 | $$ \displaystyle\int^{2.71828}_{1} x\, \mathrm d x $$ | 1 |
| 4005 | $$ \displaystyle\int^{2.7}_{1} x\, \mathrm d x $$ | 1 |
| 4006 | $$ \displaystyle\int^{2.71}_{1} x\, \mathrm d x $$ | 1 |
| 4007 | $$ \displaystyle\int^{2.69}_{1} x\, \mathrm d x $$ | 1 |
| 4008 | $$ \displaystyle\int^{2.718}_{1} x\, \mathrm d x $$ | 1 |
| 4009 | $$ $$ | 1 |
| 4010 | $$ $$ | 1 |
| 4011 | $$ $$ | 1 |
| 4012 | $$ $$ | 1 |
| 4013 | $$ $$ | 1 |
| 4014 | $$ $$ | 1 |
| 4015 | $$ $$ | 1 |
| 4016 | $$ $$ | 1 |
| 4017 | $$ $$ | 1 |
| 4018 | $$ \displaystyle\int {x}^{n}{\cdot}\ln\left(x\right)\, \mathrm d x $$ | 1 |
| 4019 | $$ $$ | 1 |
| 4020 | $$ $$ | 1 |
| 4021 | $$ $$ | 1 |
| 4022 | $$ $$ | 1 |
| 4023 | $$ \displaystyle\int {x}^{2}{\cdot}{2}^{-{x}^{2}}\, \mathrm d x $$ | 1 |
| 4024 | $$ \displaystyle\int \dfrac{1}{\left(2x-7\right){\cdot}\sqrt{\left(x-2\right){\cdot}\left(x-4\right)}}\, \mathrm d x $$ | 1 |
| 4025 | $$ \displaystyle\int \dfrac{1}{\sqrt{{\mathrm{e}}^{-2x}-9}}\, \mathrm d x $$ | 1 |
| 4026 | $$ \displaystyle\int -{\left(\cos\left(x\right)\right)}^{2}{\cdot}\sin\left(x\right)\, \mathrm d x $$ | 1 |
| 4027 | $$ \displaystyle\int -{\left(\cos\left(x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 4028 | $$ $$ | 1 |
| 4029 | $$ $$ | 1 |
| 4030 | $$ $$ | 1 |
| 4031 | $$ $$ | 1 |
| 4032 | $$ \displaystyle\int \dfrac{1+\cos\left(x\right)}{1-\cos\left(x\right)}\, \mathrm d x $$ | 1 |
| 4033 | $$ \displaystyle\int \dfrac{\ln\left({x}^{2}\right)}{x}\, \mathrm d x $$ | 1 |
| 4034 | $$ \displaystyle\int^{2}_{0} {\pi}{\cdot}{\left(\dfrac{1}{x+1}\right)}^{2}\, \mathrm d x $$ | 1 |
| 4035 | $$ \int {3}{c}{o}{3}{e}{x}{8}{c}{o}{2}{l}{c}{o}{6} \, d\,x $$ | 1 |
| 4036 | $$ \displaystyle\int^{1}_{0} \dfrac{\sqrt{1-{x}^{2}}{\cdot}\left(2{x}^{2}+1\right)}{3}\, \mathrm d x $$ | 1 |
| 4037 | $$ $$ | 1 |
| 4038 | $$ $$ | 1 |
| 4039 | $$ \int^{5}_{1} \frac{\sqrt{{{x}^{{2}}-{1}}}}{{x}} \, d\,x $$ | 1 |
| 4040 | $$ \int^{5}_{1} \frac{\sqrt{{{x}^{{2}}-{1}}}}{{4}}{x} \, d\,x $$ | 1 |
| 4041 | $$ \int^{5}_{1} \frac{\sqrt{{{x}^{{2}}-{1}}}}{{{4}{x}}} \, d\,x $$ | 1 |
| 4042 | $$ \displaystyle\int \dfrac{{x}^{2}}{\sqrt{{a}^{2}+{x}^{2}}}\, \mathrm d x $$ | 1 |
| 4043 | $$ \displaystyle\int \dfrac{1}{\sqrt{{a}^{2}+{x}^{2}}}\, \mathrm d x $$ | 1 |
| 4044 | $$ \displaystyle\int {x}^{2}{\cdot}{\left(\cos\left(x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 4045 | $$ \displaystyle\int {\mathrm{e}}^{x}{\cdot}\sqrt{{\mathrm{e}}^{x}+4}\, \mathrm d x $$ | 1 |
| 4046 | $$ \displaystyle\int^{0.69}_{0} {\mathrm{e}}^{x}{\cdot}\sqrt{{\mathrm{e}}^{x}+4}\, \mathrm d x $$ | 1 |
| 4047 | $$ $$ | 1 |
| 4048 | $$ $$ | 1 |
| 4049 | $$ $$ | 1 |
| 4050 | $$ $$ | 1 |
