Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 6601 | $$ $$ | 1 |
| 6602 | $$ $$ | 1 |
| 6603 | $$ $$ | 1 |
| 6604 | $$ $$ | 1 |
| 6605 | $$ $$ | 1 |
| 6606 | $$ $$ | 1 |
| 6607 | $$ $$ | 1 |
| 6608 | $$ $$ | 1 |
| 6609 | $$ $$ | 1 |
| 6610 | $$ $$ | 1 |
| 6611 | $$ $$ | 1 |
| 6612 | $$ $$ | 1 |
| 6613 | $$ $$ | 1 |
| 6614 | $$ $$ | 1 |
| 6615 | $$ $$ | 1 |
| 6616 | $$ $$ | 1 |
| 6617 | $$ \displaystyle\int \dfrac{\sqrt{x+3}}{\sqrt{x-1}}\, \mathrm d x $$ | 1 |
| 6618 | $$ $$ | 1 |
| 6619 | $$ $$ | 1 |
| 6620 | $$ $$ | 1 |
| 6621 | $$ $$ | 1 |
| 6622 | $$ $$ | 1 |
| 6623 | $$ $$ | 1 |
| 6624 | $$ \displaystyle\int {x}^{2}{\cdot}{\mathrm{e}}^{x}\, \mathrm d x $$ | 1 |
| 6625 | $$ \displaystyle\int \sin\left(x\right){\cdot}{\mathrm{e}}^{x}\, \mathrm d x $$ | 1 |
| 6626 | $$ \displaystyle\int^{\infty}_{1} x{\cdot}{\mathrm{e}}^{-{x}^{2}}\, \mathrm d x $$ | 1 |
| 6627 | $$ \displaystyle\int \sin\left(2x\right)\, \mathrm d x $$ | 1 |
| 6628 | $$ \displaystyle\int^{2}_{1} {x}^{6}+2{x}^{3}+1\, \mathrm d x $$ | 1 |
| 6629 | $$ \displaystyle\int^{5}_{1} 2{x}^{4}{\cdot}{\left({x}^{2}-5\right)}^{50}\, \mathrm d x $$ | 1 |
| 6630 | $$ \displaystyle\int^{0}_{-\pi} {2}^{2}-{\left(2-2{\cdot}\sin\left(x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 6631 | $$ \displaystyle\int^{\pi}_{0} {2}^{2}-{\left(2-2{\cdot}\sin\left(x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 6632 | $$ \int {x}{2}^{{-{{4}}}} \, d\,x $$ | 1 |
| 6633 | $$ \int {x}^{{2}}-{4} \, d\,x $$ | 1 |
| 6634 | $$ \displaystyle\int \dfrac{2}{3}{\cdot}x\, \mathrm d x $$ | 1 |
| 6635 | $$ \displaystyle\int {\left(\tan\left(3x\right)\right)}^{6}\, \mathrm d x $$ | 1 |
| 6636 | $$ \displaystyle\int \dfrac{{x}^{2}}{\left(1+{x}^{2}\right){\cdot}\left(1+(\sqrt{1+{x}^{2}})\right)}\, \mathrm d x $$ | 1 |
| 6637 | $$ $$ | 1 |
| 6638 | $$ $$ | 1 |
| 6639 | $$ $$ | 1 |
| 6640 | $$ $$ | 1 |
| 6641 | $$ $$ | 1 |
| 6642 | $$ \displaystyle\int \dfrac{\sqrt{\cot\left(x\right)}-\sqrt{\tan\left(x\right)}}{\sqrt{2}{\cdot}\left(\cos\left(x\right)+\sin\left(x\right)\right)}\, \mathrm d x $$ | 1 |
| 6643 | $$ \displaystyle\int^{201.48}_{0} 3.88{\cdot}\sin\left(x-23.72\right)+89.381{\mathrm{e}}^{\frac{-x}{25.21}}\, \mathrm d x $$ | 1 |
| 6644 | $$ \displaystyle\int^{201.48}_{0} \dfrac{1}{2{\pi}}{\cdot}3.88{\cdot}\sin\left(x-23.72\right)+89.381{\mathrm{e}}^{\frac{-x}{25.21}}\, \mathrm d x $$ | 1 |
| 6645 | $$ \displaystyle\int^{201.48}_{0} \dfrac{1}{2{\pi}}{\cdot}3.88{\cdot}\sin\left(x-0.414\right)+1.56{\mathrm{e}}^{\frac{-x}{0.44}}\, \mathrm d x $$ | 1 |
| 6646 | $$ \displaystyle\int^{201.48}_{0} \dfrac{1}{2{\pi}}{\cdot}{\left(3.88{\cdot}\sin\left(x-0.414\right)+1.56{\mathrm{e}}^{\frac{-x}{0.44}}\right)}^{2}\, \mathrm d x $$ | 1 |
| 6647 | $$ \displaystyle\int^{3.52}_{0} \dfrac{1}{2{\pi}}{\cdot}{\left(3.88{\cdot}\sin\left(x-0.414\right)+1.56{\mathrm{e}}^{\frac{-x}{0.44}}\right)}^{2}\, \mathrm d x $$ | 1 |
| 6648 | $$ \displaystyle\int \cos\left(\dfrac{{\pi}{\cdot}{x}^{2}}{240}\right)\, \mathrm d x $$ | 1 |
| 6649 | $$ \displaystyle\int \dfrac{{x}^{3}}{{x}^{2}+2}\, \mathrm d x $$ | 1 |
| 6650 | $$ \displaystyle\int \dfrac{{\mathrm{e}}^{x}}{1+{\mathrm{e}}^{2x}}\, \mathrm d x $$ | 1 |
