Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 6451 | $$ \displaystyle\int^{5}_{0} \dfrac{2}{25}{\cdot}{x}^{2}\, \mathrm d x $$ | 1 |
| 6452 | $$ \displaystyle\int {\left(3+x\right)}^{-2}\, \mathrm d x $$ | 1 |
| 6453 | $$ \displaystyle\int -6{\cdot}{\left(3+x\right)}^{-1}\, \mathrm d x $$ | 1 |
| 6454 | $$ \displaystyle\int^{8}_{4} {{\pi}}^{2}+\mathrm{e}{\cdot}\sqrt{2}\, \mathrm d x $$ | 1 |
| 6455 | $$ \displaystyle\int^{2}_{1} 2{\pi}{\cdot}\left(\dfrac{1}{3}{\cdot}{x}^{3}+\dfrac{1}{4x}\right){\cdot}\sqrt{1+{\left({x}^{2}-\dfrac{1}{4}{\cdot}{x}^{-2}\right)}^{2}}\, \mathrm d x $$ | 1 |
| 6456 | $$ \displaystyle\int \dfrac{{x}^{2}{\cdot}\cos\left(x\right)}{1+{\mathrm{e}}^{x}}{\cdot}dx\, \mathrm d x $$ | 1 |
| 6457 | $$ \displaystyle\int {\left(\sin\left(x\right)\right)}^{2}{\cdot}\dfrac{1}{\cos\left(x\right)}{\cdot}\tan\left(x\right)\, \mathrm d x $$ | 1 |
| 6458 | $$ $$ | 1 |
| 6459 | $$ $$ | 1 |
| 6460 | $$ $$ | 1 |
| 6461 | $$ $$ | 1 |
| 6462 | $$ $$ | 1 |
| 6463 | $$ $$ | 1 |
| 6464 | $$ $$ | 1 |
| 6465 | $$ $$ | 1 |
| 6466 | $$ \displaystyle\int^{1}_{0} \ln\left(x+1\right)\, \mathrm d x $$ | 1 |
| 6467 | $$ \displaystyle\int \ln\left(x+1\right){\cdot}\cos\left(x\right)\, \mathrm d x $$ | 1 |
| 6468 | $$ \displaystyle\int \ln\left(x+1\right){\cdot}\sin\left(x\right)\, \mathrm d x $$ | 1 |
| 6469 | $$ \displaystyle\int \ln\left(x+1\right){\cdot}\sin\left(2x\right)\, \mathrm d x $$ | 1 |
| 6470 | $$ \displaystyle\int \ln\left(x+1\right){\cdot}\cos\left(2x\right)\, \mathrm d x $$ | 1 |
| 6471 | $$ $$ | 1 |
| 6472 | $$ \displaystyle\int \sin\left(\color{orangered}{\square}\right)\, \mathrm d x $$ | 1 |
| 6473 | $$ $$ | 1 |
| 6474 | $$ $$ | 1 |
| 6475 | $$ $$ | 1 |
| 6476 | $$ $$ | 1 |
| 6477 | $$ $$ | 1 |
| 6478 | $$ $$ | 1 |
| 6479 | $$ $$ | 1 |
| 6480 | $$ $$ | 1 |
| 6481 | $$ $$ | 1 |
| 6482 | $$ $$ | 1 |
| 6483 | $$ $$ | 1 |
| 6484 | $$ $$ | 1 |
| 6485 | $$ $$ | 1 |
| 6486 | $$ $$ | 1 |
| 6487 | $$ $$ | 1 |
| 6488 | $$ $$ | 1 |
| 6489 | $$ $$ | 1 |
| 6490 | $$ $$ | 1 |
| 6491 | $$ $$ | 1 |
| 6492 | $$ $$ | 1 |
| 6493 | $$ $$ | 1 |
| 6494 | $$ $$ | 1 |
| 6495 | $$ $$ | 1 |
| 6496 | $$ $$ | 1 |
| 6497 | $$ $$ | 1 |
| 6498 | $$ $$ | 1 |
| 6499 | $$ $$ | 1 |
| 6500 | $$ $$ | 1 |
