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 | $$ \int {x}{\cos{{\left({x}\right)}}} \, d\,x $$ | 1 |
| 6603 | $$ \displaystyle\int \dfrac{1}{{\left(\tan\left(x\right)\right)}^{2}}\, \mathrm d x $$ | 1 |
| 6604 | $$ $$ | 1 |
| 6605 | $$ $$ | 1 |
| 6606 | $$ \int^{1}_{0} \sqrt{{2}}-{x}^{{2}} \, d\,x $$ | 1 |
| 6607 | $$ \displaystyle\int^{\infty }_{0} {\mathrm{e}}^{-{x}^{2}}{\cdot}\sin\left(x\right)\, \mathrm d x $$ | 1 |
| 6608 | $$ \displaystyle\int^{\infty }_{0} {\mathrm{e}}^{-{x}^{2}}{\cdot}\sin\left(x\right){\cdot}\cos\left(x\right)\, \mathrm d x $$ | 1 |
| 6609 | $$ \displaystyle\int^{\infty }_{0} \dfrac{{\mathrm{e}}^{-sx}{\cdot}\sin\left(x\right){\cdot}\cos\left(x\right)}{x}\, \mathrm d x $$ | 1 |
| 6610 | $$ \displaystyle\int^{1}_{-\infty} \dfrac{{\mathrm{e}}^{\frac{-{x}^{2}}{2}}}{{\left(2{\pi}\right)}^{0.5}}\, \mathrm d x $$ | 1 |
| 6611 | $$ \displaystyle\int^{6}_{3} 2x+6x-2\, \mathrm d x $$ | 1 |
| 6612 | $$ \displaystyle\int^{2}_{1} {x}^{3}{\cdot}\sqrt{{t}^{4}+1}\, \mathrm d x $$ | 1 |
| 6613 | $$ \displaystyle\int^{3}_{2} {x}^{2}+3x-1\, \mathrm d x $$ | 1 |
| 6614 | $$ \displaystyle\int {x}^{9}{\cdot}\sqrt{{x}^{5}-5}\, \mathrm d x $$ | 1 |
| 6615 | $$ \displaystyle\int^{2}_{0} {x}^{2}-8\, \mathrm d x $$ | 1 |
| 6616 | $$ \displaystyle\int^{2}_{1} 3{x}^{2}-2x+2\, \mathrm d x $$ | 1 |
| 6617 | $$ \displaystyle\int \dfrac{1}{\sqrt{16-{x}^{2}}}\, \mathrm d x $$ | 1 |
| 6618 | $$ $$ | 1 |
| 6619 | $$ $$ | 1 |
| 6620 | $$ $$ | 1 |
| 6621 | $$ \displaystyle\int \dfrac{1}{\sqrt{2x-4}}\, \mathrm d x $$ | 1 |
| 6622 | $$ $$ | 1 |
| 6623 | $$ \displaystyle\int \left({x}^{2}+x\right){\cdot}\sin\left(2x\right)\, \mathrm d x $$ | 1 |
| 6624 | $$ \displaystyle\int^{1}_{0} \dfrac{{x}^{2}}{1+{x}^{3}}\, \mathrm d x $$ | 1 |
| 6625 | $$ \displaystyle\int {\left(\sin\left(2\right){\cdot}x\right)}^{12}{\cdot}\cos\left(2\right){\cdot}x\, \mathrm d x $$ | 1 |
| 6626 | $$ \displaystyle\int \dfrac{2{x}^{2}+4}{{\left({x}^{2}-2x+2\right)}^{2}}\, \mathrm d x $$ | 1 |
| 6627 | $$ \displaystyle\int^{4}_{0} {x}^{\frac{1}{2}}+4-4\, \mathrm d x $$ | 1 |
| 6628 | $$ $$ | 1 |
| 6629 | $$ $$ | 1 |
| 6630 | $$ $$ | 1 |
| 6631 | $$ $$ | 1 |
| 6632 | $$ $$ | 1 |
| 6633 | $$ $$ | 1 |
| 6634 | $$ $$ | 1 |
| 6635 | $$ $$ | 1 |
| 6636 | $$ $$ | 1 |
| 6637 | $$ $$ | 1 |
| 6638 | $$ \displaystyle\int^{\infty}_{-\infty} {\mathrm{e}}^{\frac{-{x}^{2}}{2}}\, \mathrm d x $$ | 1 |
| 6639 | $$ $$ | 1 |
| 6640 | $$ $$ | 1 |
| 6641 | $$ $$ | 1 |
| 6642 | $$ $$ | 1 |
| 6643 | $$ $$ | 1 |
| 6644 | $$ $$ | 1 |
| 6645 | $$ $$ | 1 |
| 6646 | $$ $$ | 1 |
| 6647 | $$ \\displaystyle\\int \\dfrac{\\cos\\left(4x\\right)}{\\sin\\left(2x\\right){\\cdot}\\cos\\left(2x\\right)}\\, \\mathrm d x $$ | 1 |
| 6648 | $$ \displaystyle\int^{6}_{0} {\mathrm{e}}^{\frac{3-2x}{3}}\, \mathrm d x $$ | 1 |
| 6649 | $$ $$ | 1 |
| 6650 | $$ $$ | 1 |