Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 5601 | $$ \displaystyle\int \dfrac{-{x}^{3}}{2}\, \mathrm d x $$ | 1 |
| 5602 | $$ \displaystyle\int {\left(\cos\left(2x\right)\right)}^{3}{\cdot}\sin\left(2x\right)\, \mathrm d x $$ | 1 |
| 5603 | $$ \displaystyle\int \sin\left(\color{orangered}{\square}\right)\, \mathrm d x $$ | 1 |
| 5604 | $$ \displaystyle\int \dfrac{11{\cdot}\ln\left(x\right)}{x{\cdot}\sqrt{2+{\left(\ln\left(x\right)\right)}^{2}}}\, \mathrm d x $$ | 1 |
| 5605 | $$ \displaystyle\int \dfrac{10{x}^{2}+4}{\left(x-9\right){\cdot}\left(x-8\right)}\, \mathrm d x $$ | 1 |
| 5606 | $$ \displaystyle\int^{2}_{----1} 0\, \mathrm d x $$ | 1 |
| 5607 | $$ \displaystyle\int 5{\cdot}\cos\left(x\right)\, \mathrm d x $$ | 1 |
| 5608 | $$ \displaystyle\int x{\cdot}\sec\left(x\right){\cdot}\left({x}^{2}-5\right)\, \mathrm d x $$ | 1 |
| 5609 | $$ \displaystyle\int {\left({x}^{3}-4x\right)}^{4}{\cdot}\left(9{x}^{2}-12\right)\, \mathrm d x $$ | 1 |
| 5610 | $$ \displaystyle\int \dfrac{x+7}{x+9}\, \mathrm d x $$ | 1 |
| 5611 | $$ $$ | 1 |
| 5612 | $$ $$ | 1 |
| 5613 | $$ $$ | 1 |
| 5614 | $$ \displaystyle\int 3+{x}^{2}\, \mathrm d x $$ | 1 |
| 5615 | $$ \displaystyle\int \left(2{x}^{3}+5{x}^{5}\right){\cdot}\left(3{x}^{-2}+{x}^{2}\right)\, \mathrm d x $$ | 1 |
| 5616 | $$ $$ | 1 |
| 5617 | $$ $$ | 1 |
| 5618 | $$ $$ | 1 |
| 5619 | $$ $$ | 1 |
| 5620 | $$ \displaystyle\int^{-4}_{2} 23{x}^{2}-4x-16\, \mathrm d x $$ | 1 |
| 5621 | $$ \displaystyle\int \dfrac{1}{1+\dfrac{x}{a}}\, \mathrm d x $$ | 1 |
| 5622 | $$ $$ | 1 |
| 5623 | $$ $$ | 1 |
| 5624 | $$ $$ | 1 |
| 5625 | $$ $$ | 1 |
| 5626 | $$ $$ | 1 |
| 5627 | $$ $$ | 1 |
| 5628 | $$ $$ | 1 |
| 5629 | $$ $$ | 1 |
| 5630 | $$ $$ | 1 |
| 5631 | $$ $$ | 1 |
| 5632 | $$ $$ | 1 |
| 5633 | $$ $$ | 1 |
| 5634 | $$ \displaystyle\int -3{\cdot}\cos\left(\dfrac{{x}^{2}}{5}\right)\, \mathrm d x $$ | 1 |
| 5635 | $$ $$ | 1 |
| 5636 | $$ $$ | 1 |
| 5637 | $$ $$ | 1 |
| 5638 | $$ \displaystyle\int \dfrac{5x-12}{{x}^{3}-6{x}^{2}+8x}\, \mathrm d x $$ | 1 |
| 5639 | $$ \displaystyle\int \dfrac{\cos\left(x\right)}{\sqrt{2+\cos\left(x\right)}}\, \mathrm d x $$ | 1 |
| 5640 | $$ \displaystyle\int \dfrac{\cos\left(x\right)}{s}{\cdot}q{\cdot}\sqrt{t}{\cdot}\left(2+\cos\left(x\right)\right)\, \mathrm d x $$ | 1 |
| 5641 | $$ \displaystyle\int {\left(\sin\left(\dfrac{{x}^{\frac{1}{2}}}{{2}^{\frac{1}{2}}}\right)\right)}^{-1}\, \mathrm d x $$ | 1 |
| 5642 | $$ \displaystyle\int {\left(\sin\left(\dfrac{{x}^{\frac{1}{2}}}{{2}^{\frac{1}{2}}}\right)\right)}^{-1}\, \mathrm d x $$ | 1 |
| 5643 | $$ \displaystyle\int \dfrac{\sqrt{x}}{\sqrt{x}-1}\, \mathrm d x $$ | 1 |
| 5644 | $$ \displaystyle\int {x}^{5}{\cdot}\mathrm{arccsc}\left({x}^{6}+9\right)\, \mathrm d x $$ | 1 |
| 5645 | $$ \displaystyle\int {x}^{2}{\cdot}\sqrt{8+9{x}^{2}}\, \mathrm d x $$ | 1 |
| 5646 | $$ $$ | 1 |
| 5647 | $$ $$ | 1 |
| 5648 | $$ $$ | 1 |
| 5649 | $$ $$ | 1 |
| 5650 | $$ $$ | 1 |
