Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 6751 | $$ $$ | 1 |
| 6752 | $$ $$ | 1 |
| 6753 | $$ \int^{1}_{0} \sqrt{{2}}-{x}^{{2}} \, d\,x $$ | 1 |
| 6754 | $$ \displaystyle\int^{\infty }_{0} {\mathrm{e}}^{-{x}^{2}}{\cdot}\sin\left(x\right)\, \mathrm d x $$ | 1 |
| 6755 | $$ \displaystyle\int^{\infty }_{0} {\mathrm{e}}^{-{x}^{2}}{\cdot}\sin\left(x\right){\cdot}\cos\left(x\right)\, \mathrm d x $$ | 1 |
| 6756 | $$ \displaystyle\int^{\infty }_{0} \dfrac{{\mathrm{e}}^{-sx}{\cdot}\sin\left(x\right){\cdot}\cos\left(x\right)}{x}\, \mathrm d x $$ | 1 |
| 6757 | $$ \displaystyle\int^{1}_{-\infty} \dfrac{{\mathrm{e}}^{\frac{-{x}^{2}}{2}}}{{\left(2{\pi}\right)}^{0.5}}\, \mathrm d x $$ | 1 |
| 6758 | $$ \displaystyle\int^{6}_{3} 2x+6x-2\, \mathrm d x $$ | 1 |
| 6759 | $$ \displaystyle\int^{2}_{1} {x}^{3}{\cdot}\sqrt{{t}^{4}+1}\, \mathrm d x $$ | 1 |
| 6760 | $$ \displaystyle\int^{3}_{2} {x}^{2}+3x-1\, \mathrm d x $$ | 1 |
| 6761 | $$ \displaystyle\int {x}^{9}{\cdot}\sqrt{{x}^{5}-5}\, \mathrm d x $$ | 1 |
| 6762 | $$ \displaystyle\int^{2}_{0} {x}^{2}-8\, \mathrm d x $$ | 1 |
| 6763 | $$ \displaystyle\int^{2}_{1} 3{x}^{2}-2x+2\, \mathrm d x $$ | 1 |
| 6764 | $$ \displaystyle\int \dfrac{1}{\sqrt{16-{x}^{2}}}\, \mathrm d x $$ | 1 |
| 6765 | $$ $$ | 1 |
| 6766 | $$ $$ | 1 |
| 6767 | $$ $$ | 1 |
| 6768 | $$ \displaystyle\int \dfrac{1}{\sqrt{2x-4}}\, \mathrm d x $$ | 1 |
| 6769 | $$ $$ | 1 |
| 6770 | $$ \displaystyle\int \left({x}^{2}+x\right){\cdot}\sin\left(2x\right)\, \mathrm d x $$ | 1 |
| 6771 | $$ \displaystyle\int^{1}_{0} \dfrac{{x}^{2}}{1+{x}^{3}}\, \mathrm d x $$ | 1 |
| 6772 | $$ \displaystyle\int {\left(\sin\left(2\right){\cdot}x\right)}^{12}{\cdot}\cos\left(2\right){\cdot}x\, \mathrm d x $$ | 1 |
| 6773 | $$ \displaystyle\int \dfrac{2{x}^{2}+4}{{\left({x}^{2}-2x+2\right)}^{2}}\, \mathrm d x $$ | 1 |
| 6774 | $$ \displaystyle\int^{4}_{0} {x}^{\frac{1}{2}}+4-4\, \mathrm d x $$ | 1 |
| 6775 | $$ $$ | 1 |
| 6776 | $$ $$ | 1 |
| 6777 | $$ $$ | 1 |
| 6778 | $$ $$ | 1 |
| 6779 | $$ $$ | 1 |
| 6780 | $$ $$ | 1 |
| 6781 | $$ $$ | 1 |
| 6782 | $$ $$ | 1 |
| 6783 | $$ $$ | 1 |
| 6784 | $$ $$ | 1 |
| 6785 | $$ \displaystyle\int^{\infty}_{-\infty} {\mathrm{e}}^{\frac{-{x}^{2}}{2}}\, \mathrm d x $$ | 1 |
| 6786 | $$ $$ | 1 |
| 6787 | $$ $$ | 1 |
| 6788 | $$ $$ | 1 |
| 6789 | $$ $$ | 1 |
| 6790 | $$ $$ | 1 |
| 6791 | $$ $$ | 1 |
| 6792 | $$ $$ | 1 |
| 6793 | $$ $$ | 1 |
| 6794 | $$ \\displaystyle\\int \\dfrac{\\cos\\left(4x\\right)}{\\sin\\left(2x\\right){\\cdot}\\cos\\left(2x\\right)}\\, \\mathrm d x $$ | 1 |
| 6795 | $$ \displaystyle\int^{6}_{0} {\mathrm{e}}^{\frac{3-2x}{3}}\, \mathrm d x $$ | 1 |
| 6796 | $$ $$ | 1 |
| 6797 | $$ $$ | 1 |
| 6798 | $$ $$ | 1 |
| 6799 | $$ $$ | 1 |
| 6800 | $$ $$ | 1 |
