Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 6451 | $$ $$ | 1 |
| 6452 | $$ $$ | 1 |
| 6453 | $$ $$ | 1 |
| 6454 | $$ $$ | 1 |
| 6455 | $$ $$ | 1 |
| 6456 | $$ $$ | 1 |
| 6457 | $$ $$ | 1 |
| 6458 | $$ $$ | 1 |
| 6459 | $$ $$ | 1 |
| 6460 | $$ $$ | 1 |
| 6461 | $$ $$ | 1 |
| 6462 | $$ $$ | 1 |
| 6463 | $$ $$ | 1 |
| 6464 | $$ $$ | 1 |
| 6465 | $$ $$ | 1 |
| 6466 | $$ $$ | 1 |
| 6467 | $$ $$ | 1 |
| 6468 | $$ $$ | 1 |
| 6469 | $$ $$ | 1 |
| 6470 | $$ \displaystyle\int \dfrac{\sqrt{x+3}}{\sqrt{x-1}}\, \mathrm d x $$ | 1 |
| 6471 | $$ $$ | 1 |
| 6472 | $$ $$ | 1 |
| 6473 | $$ $$ | 1 |
| 6474 | $$ $$ | 1 |
| 6475 | $$ $$ | 1 |
| 6476 | $$ $$ | 1 |
| 6477 | $$ \displaystyle\int {x}^{2}{\cdot}{\mathrm{e}}^{x}\, \mathrm d x $$ | 1 |
| 6478 | $$ \displaystyle\int \sin\left(x\right){\cdot}{\mathrm{e}}^{x}\, \mathrm d x $$ | 1 |
| 6479 | $$ \displaystyle\int^{\infty}_{1} x{\cdot}{\mathrm{e}}^{-{x}^{2}}\, \mathrm d x $$ | 1 |
| 6480 | $$ \displaystyle\int \sin\left(2x\right)\, \mathrm d x $$ | 1 |
| 6481 | $$ \displaystyle\int^{2}_{1} {x}^{6}+2{x}^{3}+1\, \mathrm d x $$ | 1 |
| 6482 | $$ \displaystyle\int^{5}_{1} 2{x}^{4}{\cdot}{\left({x}^{2}-5\right)}^{50}\, \mathrm d x $$ | 1 |
| 6483 | $$ \displaystyle\int^{0}_{-\pi} {2}^{2}-{\left(2-2{\cdot}\sin\left(x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 6484 | $$ \displaystyle\int^{\pi}_{0} {2}^{2}-{\left(2-2{\cdot}\sin\left(x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 6485 | $$ \int {x}{2}^{{-{{4}}}} \, d\,x $$ | 1 |
| 6486 | $$ \int {x}^{{2}}-{4} \, d\,x $$ | 1 |
| 6487 | $$ \displaystyle\int \dfrac{2}{3}{\cdot}x\, \mathrm d x $$ | 1 |
| 6488 | $$ \displaystyle\int {\left(\tan\left(3x\right)\right)}^{6}\, \mathrm d x $$ | 1 |
| 6489 | $$ \displaystyle\int \dfrac{{x}^{2}}{\left(1+{x}^{2}\right){\cdot}\left(1+(\sqrt{1+{x}^{2}})\right)}\, \mathrm d x $$ | 1 |
| 6490 | $$ $$ | 1 |
| 6491 | $$ $$ | 1 |
| 6492 | $$ $$ | 1 |
| 6493 | $$ $$ | 1 |
| 6494 | $$ $$ | 1 |
| 6495 | $$ \displaystyle\int \dfrac{\sqrt{\cot\left(x\right)}-\sqrt{\tan\left(x\right)}}{\sqrt{2}{\cdot}\left(\cos\left(x\right)+\sin\left(x\right)\right)}\, \mathrm d x $$ | 1 |
| 6496 | $$ \displaystyle\int^{201.48}_{0} 3.88{\cdot}\sin\left(x-23.72\right)+89.381{\mathrm{e}}^{\frac{-x}{25.21}}\, \mathrm d x $$ | 1 |
| 6497 | $$ \displaystyle\int^{201.48}_{0} \dfrac{1}{2{\pi}}{\cdot}3.88{\cdot}\sin\left(x-23.72\right)+89.381{\mathrm{e}}^{\frac{-x}{25.21}}\, \mathrm d x $$ | 1 |
| 6498 | $$ \displaystyle\int^{201.48}_{0} \dfrac{1}{2{\pi}}{\cdot}3.88{\cdot}\sin\left(x-0.414\right)+1.56{\mathrm{e}}^{\frac{-x}{0.44}}\, \mathrm d x $$ | 1 |
| 6499 | $$ \displaystyle\int^{201.48}_{0} \dfrac{1}{2{\pi}}{\cdot}{\left(3.88{\cdot}\sin\left(x-0.414\right)+1.56{\mathrm{e}}^{\frac{-x}{0.44}}\right)}^{2}\, \mathrm d x $$ | 1 |
| 6500 | $$ \displaystyle\int^{3.52}_{0} \dfrac{1}{2{\pi}}{\cdot}{\left(3.88{\cdot}\sin\left(x-0.414\right)+1.56{\mathrm{e}}^{\frac{-x}{0.44}}\right)}^{2}\, \mathrm d x $$ | 1 |
