Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 5051 | $$ \int \frac{{1}}{{x}}{\left({x}-{1}\right)} \, d\,x $$ | 1 |
| 5052 | $$ \int \frac{{1}}{{{x}{\left({x}-{1}\right)}}} \, d\,x $$ | 1 |
| 5053 | $$ \int {2}\frac{{x}}{{{x}^{{2}}-{1}}} \, d\,x $$ | 1 |
| 5054 | $$ \int {2}\frac{{x}}{{{1}-{x}^{{2}}}} \, d\,x $$ | 1 |
| 5055 | $$ \int \frac{{1}}{{{x}-{1}}} \, d\,x $$ | 1 |
| 5056 | $$ \int {\exp{{\left(\frac{{\ln{{\left({x}\right)}}}}{{-{x}}}\right)}}} \, d\,x $$ | 1 |
| 5057 | $$ \int \frac{{\exp{{\left({\ln{{\left({x}\right)}}}\right)}}}}{{-{x}}} \, d\,x $$ | 1 |
| 5058 | $$ \displaystyle\int 3{\cdot}\sin\left(3\right){\cdot}{x}^{3}\, \mathrm d x $$ | 1 |
| 5059 | $$ $$ | 1 |
| 5060 | $$ $$ | 1 |
| 5061 | $$ $$ | 1 |
| 5062 | $$ $$ | 1 |
| 5063 | $$ $$ | 1 |
| 5064 | $$ $$ | 1 |
| 5065 | $$ $$ | 1 |
| 5066 | $$ $$ | 1 |
| 5067 | $$ $$ | 1 |
| 5068 | $$ $$ | 1 |
| 5069 | $$ $$ | 1 |
| 5070 | $$ $$ | 1 |
| 5071 | $$ $$ | 1 |
| 5072 | $$ $$ | 1 |
| 5073 | $$ $$ | 1 |
| 5074 | $$ $$ | 1 |
| 5075 | $$ $$ | 1 |
| 5076 | $$ $$ | 1 |
| 5077 | $$ $$ | 1 |
| 5078 | $$ $$ | 1 |
| 5079 | $$ $$ | 1 |
| 5080 | $$ $$ | 1 |
| 5081 | $$ $$ | 1 |
| 5082 | $$ $$ | 1 |
| 5083 | $$ $$ | 1 |
| 5084 | $$ \displaystyle\int {\mathrm{e}}^{-sx}\, \mathrm d x $$ | 1 |
| 5085 | $$ \displaystyle\int {\left(\arctan\left(x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 5086 | $$ \displaystyle\int^{\pi/2}_{0} \sin\left(x\right){\cdot}\cos\left(x\right)\, \mathrm d x $$ | 1 |
| 5087 | $$ \int {x}\cdot{\exp{{\left(-{x}\right)}}} \, d\,x $$ | 1 |
| 5088 | $$ \int \frac{{x}}{{\sqrt{{1}}+{x}^{{2}}}} \, d\,x $$ | 1 |
| 5089 | $$ \int \frac{{x}}{{\sqrt{{{1}+{x}^{{2}}}}}} \, d\,x $$ | 1 |
| 5090 | $$ \displaystyle\int^{+\infty}_{----------------\infty} \dfrac{\cos\left(x\right)}{1+{x}^{4}}\, \mathrm d x $$ | 1 |
| 5091 | $$ \displaystyle\int^{+\infty}_{--\infty} \dfrac{\cos\left(x\right)}{1+{x}^{4}}\, \mathrm d x $$ | 1 |
| 5092 | $$ $$ | 1 |
| 5093 | $$ $$ | 1 |
| 5094 | $$ $$ | 1 |
| 5095 | $$ $$ | 1 |
| 5096 | $$ $$ | 1 |
| 5097 | $$ $$ | 1 |
| 5098 | $$ $$ | 1 |
| 5099 | $$ $$ | 1 |
| 5100 | $$ $$ | 1 |
