Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 451 | $$ $$ | 3 |
| 452 | $$ $$ | 3 |
| 453 | $$ $$ | 3 |
| 454 | $$ \displaystyle\int -{\mathrm{e}}^{-t}\, \mathrm d x $$ | 3 |
| 455 | $$ $$ | 3 |
| 456 | $$ \displaystyle\int^{1}_{\pi} \sin\left(3x\right){\cdot}\cos\left(x\right)\, \mathrm d x $$ | 3 |
| 457 | $$ \displaystyle\int \sin\left(3x\right){\cdot}\cos\left(x\right)\, \mathrm d x $$ | 3 |
| 458 | $$ \displaystyle\int^{3}_{0} 3x+2\, \mathrm d x $$ | 3 |
| 459 | $$ \displaystyle\int^{-\infty}_{\infty} \dfrac{{\mathrm{e}}^{2}}{{\left({\mathrm{e}}^{2}+{x}^{2}\right)}^{\frac{3}{2}}}\, \mathrm d x $$ | 3 |
| 460 | $$ \displaystyle\int \dfrac{1}{x{\cdot}\sqrt{9+4{x}^{2}}}\, \mathrm d x $$ | 3 |
| 461 | $$ $$ | 3 |
| 462 | $$ \displaystyle\int \dfrac{{\mathrm{e}}^{2}}{{\left({\mathrm{e}}^{2}+{x}^{2}\right)}^{\frac{3}{2}}}\, \mathrm d x $$ | 3 |
| 463 | $$ \displaystyle\int^{\infty}_{\infty} \dfrac{{\mathrm{e}}^{2}}{{\left({\mathrm{e}}^{2}+{x}^{2}\right)}^{\frac{3}{2}}}\, \mathrm d x $$ | 3 |
| 464 | $$ \displaystyle\int^{20}_{0} 13.865{\mathrm{e}}^{-0.05}\, \mathrm d x $$ | 3 |
| 465 | $$ \displaystyle\int^{4}_{2} \dfrac{4}{{x}^{3}+1}\, \mathrm d x $$ | 3 |
| 466 | $$ $$ | 3 |
| 467 | $$ \displaystyle\int \dfrac{x}{16{x}^{4}-1}\, \mathrm d x $$ | 3 |
| 468 | $$ $$ | 3 |
| 469 | $$ $$ | 3 |
| 470 | $$ \displaystyle\int x{\cdot}\cos\left(6{\pi}\right){\cdot}{x}^{2}\, \mathrm d x $$ | 3 |
| 471 | $$ \displaystyle\int \dfrac{x}{2}\, \mathrm d x $$ | 3 |
| 472 | $$ $$ | 3 |
| 473 | $$ \displaystyle\int+\dfrac{{x}^{2}}{25}\,+\mathrm+d+x $$ | 3 |
| 474 | $$ $$ | 3 |
| 475 | $$ $$ | 3 |
| 476 | $$ $$ | 3 |
| 477 | $$ $$ | 3 |
| 478 | $$ $$ | 3 |
| 479 | $$ $$ | 3 |
| 480 | $$ \displaystyle\int \ln\left(x+1\right)\, \mathrm d x $$ | 3 |
| 481 | $$ $$ | 3 |
| 482 | $$ \displaystyle\int^{3}_{9} 7x{\cdot}{\mathrm{e}}^{\cos\left(x\right)}\, \mathrm d x $$ | 3 |
| 483 | $$ \displaystyle\int \dfrac{1}{{\left(\sqrt{1+{x}^{2}}\right)}^{3}}\, \mathrm d x $$ | 3 |
| 484 | $$ $$ | 3 |
| 485 | $$ $$ | 3 |
| 486 | $$ $$ | 3 |
| 487 | $$ $$ | 3 |
| 488 | $$ $$ | 3 |
| 489 | $$ $$ | 3 |
| 490 | $$ $$ | 3 |
| 491 | $$ \displaystyle\int^{\pi/3}_{\pi/6} {\left(\sin\left(x\right)\right)}^{4}\, \mathrm d x $$ | 3 |
| 492 | $$ \displaystyle\int {\left(\sin\left(x\right)\right)}^{4}\, \mathrm d x $$ | 3 |
| 493 | $$ $$ | 3 |
| 494 | $$ $$ | 3 |
| 495 | $$ $$ | 3 |
| 496 | $$ $$ | 3 |
| 497 | $$ $$ | 3 |
| 498 | $$ \displaystyle\int^{2}_{0} 3{\cdot}\sin\left(x\right)\, \mathrm d x $$ | 3 |
| 499 | $$ \displaystyle\int^{\pi/2}_{0} {\left(\sin\left(2x\right)\right)}^{2}{\cdot}\cos\left(2x\right)\, \mathrm d x $$ | 3 |
| 500 | $$ \displaystyle\int \sqrt{x{\cdot}\left(4-x\right)}\, \mathrm d x $$ | 3 |
