Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 5001 | $$ \displaystyle\int^{1}_{0} \dfrac{1}{x+1}\, \mathrm d x $$ | 1 |
| 5002 | $$ \displaystyle\int \dfrac{1}{x+1}\, \mathrm d x $$ | 1 |
| 5003 | $$ \displaystyle\int^{6}_{2} x{x}^{2}\, \mathrm d x $$ | 1 |
| 5004 | $$ \displaystyle\int^{\infty}_{0} \dfrac{\mathrm{e}^{\cos\left(x\right)}{\cdot}\cos\left(\sin\left(x\right)+x\right)}{1+{x}^{2}}\, \mathrm d x $$ | 1 |
| 5005 | $$ \displaystyle\int^{1}_{0} x{\cdot}\left(\dfrac{9}{5}{\cdot}{x}^{2}+\dfrac{2}{5}\right)\, \mathrm d x $$ | 1 |
| 5006 | $$ \displaystyle\int^{2}_{0} x{\cdot}\left(\dfrac{3}{10}{\cdot}x+\dfrac{1}{5}\right)\, \mathrm d x $$ | 1 |
| 5007 | $$ \displaystyle\int 1.5x\, \mathrm d x $$ | 1 |
| 5008 | $$ \displaystyle\int^{\infty}_{--\infty} x{\cdot}{\mathrm{e}}^{2}{\cdot}x\, \mathrm d x $$ | 1 |
| 5009 | $$ \displaystyle\int^{\infty}_{--\infty} x{\cdot}{\mathrm{e}}^{2x}\, \mathrm d x $$ | 1 |
| 5010 | $$ \displaystyle\int^{\infty}_{--\infty} x{\cdot}{\mathrm{e}}^{-2x}\, \mathrm d x $$ | 1 |
| 5011 | $$ \displaystyle\int^{\infty}_{0} x{\cdot}{\mathrm{e}}^{-2x}\, \mathrm d x $$ | 1 |
| 5012 | $$ \displaystyle\int^{\infty}_{--\infty} \dfrac{\sin\left(x\right)}{4+{x}^{2}}\, \mathrm d x $$ | 1 |
| 5013 | $$ \displaystyle\int {x}^{2}{\cdot}{\mathrm{e}}^{-x}\, \mathrm d x $$ | 1 |
| 5014 | $$ $$ | 1 |
| 5015 | $$ $$ | 1 |
| 5016 | $$ $$ | 1 |
| 5017 | $$ $$ | 1 |
| 5018 | $$ $$ | 1 |
| 5019 | $$ $$ | 1 |
| 5020 | $$ $$ | 1 |
| 5021 | $$ $$ | 1 |
| 5022 | $$ $$ | 1 |
| 5023 | $$ $$ | 1 |
| 5024 | $$ \displaystyle\int \dfrac{1}{1+49{x}^{2}}\, \mathrm d x $$ | 1 |
| 5025 | $$ \displaystyle\int \dfrac{1}{x{\cdot}\ln\left(x\right)}\, \mathrm d x $$ | 1 |
| 5026 | $$ 1 $$ | 1 |
| 5027 | $$ $$ | 1 |
| 5028 | $$ $$ | 1 |
| 5029 | $$ $$ | 1 |
| 5030 | $$ $$ | 1 |
| 5031 | $$ $$ | 1 |
| 5032 | $$ $$ | 1 |
| 5033 | $$ $$ | 1 |
| 5034 | $$ $$ | 1 |
| 5035 | $$ $$ | 1 |
| 5036 | $$ $$ | 1 |
| 5037 | $$ $$ | 1 |
| 5038 | $$ $$ | 1 |
| 5039 | $$ $$ | 1 |
| 5040 | $$ $$ | 1 |
| 5041 | $$ $$ | 1 |
| 5042 | $$ $$ | 1 |
| 5043 | $$ $$ | 1 |
| 5044 | $$ $$ | 1 |
| 5045 | $$ $$ | 1 |
| 5046 | $$ $$ | 1 |
| 5047 | $$ $$ | 1 |
| 5048 | $$ $$ | 1 |
| 5049 | $$ $$ | 1 |
| 5050 | $$ $$ | 1 |
