Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 551 | $$ \displaystyle\int \dfrac{\cos\left(x\right)}{\sin\left(x\right){\cdot}\left(2+\sin\left(x\right)\right)}\, \mathrm d x $$ | 3 |
| 552 | $$ \displaystyle\int 3{x}^{2}+x+1\, \mathrm d x $$ | 3 |
| 553 | $$ \displaystyle\int {\left(1-{x}^{2}\right)}^{c}\, \mathrm d x $$ | 3 |
| 554 | $$ $$ | 3 |
| 555 | $$ \displaystyle\int x{\cdot}{\left(1-x\right)}^{6}\, \mathrm d x $$ | 3 |
| 556 | $$ $$ | 3 |
| 557 | $$ \displaystyle\int \dfrac{x-1}{{x}^{2}}\, \mathrm d x $$ | 3 |
| 558 | $$ \int {10}{x}^{{3}}-{5}\frac{{x}}{\sqrt{{{x}^{{4}}-{x}^{{2}}+{6}}}} \, d\,x $$ | 3 |
| 559 | $$ \displaystyle\int {x}^{x}\, \mathrm d x $$ | 3 |
| 560 | $$ \displaystyle\int \sqrt{\tan\left(x\right)}\, \mathrm d x $$ | 3 |
| 561 | $$ \displaystyle\int \dfrac{5x-3}{\sqrt{1+4x-2{x}^{2}}}\, \mathrm d x $$ | 3 |
| 562 | $$ $$ | 3 |
| 563 | $$ \displaystyle\int {x}^{1-c}{\cdot}{\mathrm{e}}^{-{\left(\frac{x}{a}\right)}^{2}}\, \mathrm d x $$ | 3 |
| 564 | $$ \displaystyle\int \dfrac{\left(x+2\right){\cdot}\sin\left(x\right)}{1}+\cos\left(2\right){\cdot}x\, \mathrm d x $$ | 3 |
| 565 | $$ \displaystyle\int \cos\left(-2{x}^{2}+5x+4\right)\, \mathrm d x $$ | 3 |
| 566 | $$ \displaystyle\int \dfrac{{\mathrm{e}}^{x}}{{\left(1-{\mathrm{e}}^{x}\right)}^{\frac{3}{2}}}\, \mathrm d x $$ | 3 |
| 567 | $$ \displaystyle\int 5{x}^{2}\, \mathrm d x $$ | 3 |
| 568 | $$ \displaystyle\int \dfrac{x-1}{{x}^{2}}{\cdot}{\mathrm{e}}^{x-1}\, \mathrm d x $$ | 3 |
| 569 | $$ $$ | 3 |
| 570 | $$ \displaystyle\int^{1}_{-1} {\mathrm{e}}^{x}-1\, \mathrm d x $$ | 3 |
| 571 | $$ \displaystyle\int \cos\left(\color{orangered}{\square}\right)\, \mathrm d x $$ | 3 |
| 572 | $$ \displaystyle\int^{2}_{1} {\left(3x-1\right)}^{3}\, \mathrm d x $$ | 3 |
| 573 | $$ $$ | 3 |
| 574 | $$ $$ | 3 |
| 575 | $$ $$ | 3 |
| 576 | $$ \displaystyle\int \dfrac{\sin\left(x\right)}{x}\, \mathrm d x $$ | 3 |
| 577 | $$ $$ | 3 |
| 578 | $$ $$ | 3 |
| 579 | $$ $$ | 3 |
| 580 | $$ $$ | 3 |
| 581 | $$ $$ | 3 |
| 582 | $$ $$ | 3 |
| 583 | $$ $$ | 3 |
| 584 | $$ \displaystyle\int^{1}_{0} \ln\left(x\right)\, \mathrm d x $$ | 3 |
| 585 | $$ $$ | 3 |
| 586 | $$ \displaystyle\int x+1\, \mathrm d x $$ | 3 |
| 587 | $$ $$ | 3 |
| 588 | $$ $$ | 3 |
| 589 | $$ \displaystyle\int^{3\pi/2}_{\pi} \left(2x-3\right){\cdot}\sin\left(2x\right)\, \mathrm d x $$ | 3 |
| 590 | $$ \displaystyle\int^{0.69314718}_{0} \mathrm{e}^{x}{\cdot}\sqrt{\mathrm{e}^{x}+4}\, \mathrm d x $$ | 3 |
| 591 | $$ \displaystyle\int^{9}_{4} 3{\cdot}\sqrt{x}+\dfrac{1}{2x}\, \mathrm d x $$ | 3 |
| 592 | $$ \displaystyle\int \dfrac{4{x}^{3}}{5{\cdot}\left({\left(3{x}^{4}-3\right)}^{2}+1\right)}\, \mathrm d x $$ | 3 |
| 593 | $$ $$ | 3 |
| 594 | $$ $$ | 3 |
| 595 | $$ $$ | 3 |
| 596 | $$ $$ | 3 |
| 597 | $$ $$ | 3 |
| 598 | $$ $$ | 3 |
| 599 | $$ \displaystyle\int {\left(2{x}^{6}-8x-7\right)}^{-2}\, \mathrm d x $$ | 3 |
| 600 | $$ $$ | 3 |
