Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 501 | $$ \displaystyle\int \dfrac{{x}^{2}}{{x}^{3}+5}\, \mathrm d x $$ | 3 |
| 502 | $$ \displaystyle\int {x}^{3}{\cdot}\sqrt{1-{x}^{2}}\, \mathrm d x $$ | 3 |
| 503 | $$ $$ | 3 |
| 504 | $$ \displaystyle\int \sqrt{8x}\, \mathrm d x $$ | 3 |
| 505 | $$ $$ | 3 |
| 506 | $$ \displaystyle\int \dfrac{1}{\sqrt{1+{x}^{2}}}\, \mathrm d x $$ | 3 |
| 507 | $$ \displaystyle\int {\left(2x-3\right)}^{4}\, \mathrm d x $$ | 3 |
| 508 | $$ $$ | 3 |
| 509 | $$ $$ | 3 |
| 510 | $$ \displaystyle\int \cos\left(2x\right){\cdot}\cos\left(2x\right)\, \mathrm d x $$ | 3 |
| 511 | $$ $$ | 3 |
| 512 | $$ $$ | 3 |
| 513 | $$ $$ | 3 |
| 514 | $$ $$ | 3 |
| 515 | $$ $$ | 3 |
| 516 | $$ $$ | 3 |
| 517 | $$ \displaystyle\int {\left(\ln\left(x\right)\right)}^{2}\, \mathrm d x $$ | 3 |
| 518 | $$ $$ | 3 |
| 519 | $$ \displaystyle\int \sqrt{x}{\cdot}\ln\left(x\right)\, \mathrm d x $$ | 3 |
| 520 | $$ $$ | 3 |
| 521 | $$ $$ | 3 |
| 522 | $$ $$ | 3 |
| 523 | $$ $$ | 3 |
| 524 | $$ $$ | 3 |
| 525 | $$ $$ | 3 |
| 526 | $$ \displaystyle\int^{1}_{-1} {x}^{4}-3{x}^{2}+5\, \mathrm d x $$ | 3 |
| 527 | $$ $$ | 3 |
| 528 | $$ $$ | 3 |
| 529 | $$ $$ | 3 |
| 530 | $$ $$ | 3 |
| 531 | $$ $$ | 3 |
| 532 | $$ $$ | 3 |
| 533 | $$ $$ | 3 |
| 534 | $$ $$ | 3 |
| 535 | $$ $$ | 3 |
| 536 | $$ \displaystyle\int \sqrt{{\left(\dfrac{3}{2}\right)}^{2}-{\left(x-\dfrac{5}{2}\right)}^{2}}\, \mathrm d x $$ | 3 |
| 537 | $$ $$ | 3 |
| 538 | $$ $$ | 3 |
| 539 | $$ \displaystyle\int \dfrac{2}{{{\pi}}^{2}}{\cdot}\ln\left(x\right){\cdot}{\left(\left(x+1\right){\cdot}\left(x-1\right)\right)}^{-1}\, \mathrm d x $$ | 3 |
| 540 | $$ $$ | 3 |
| 541 | $$ $$ | 3 |
| 542 | $$ \displaystyle\int \sqrt{1}-{x}^{3}\, \mathrm d x $$ | 3 |
| 543 | $$ $$ | 3 |
| 544 | $$ $$ | 3 |
| 545 | $$ $$ | 3 |
| 546 | $$ $$ | 3 |
| 547 | $$ $$ | 3 |
| 548 | $$ $$ | 3 |
| 549 | $$ $$ | 3 |
| 550 | $$ $$ | 3 |
