Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 801 | $$ \displaystyle\int \sqrt{2}\, \mathrm d x $$ | 3 |
| 802 | $$ \displaystyle\int {\left(\sin\left(x\right)\right)}^{2}{\cdot}{\left(\cos\left(x\right)\right)}^{4}\, \mathrm d x $$ | 3 |
| 803 | $$ \displaystyle\int^{1}_{0} {\left({x}^{2}+2x\right)}^{2}\, \mathrm d x $$ | 3 |
| 804 | $$ \displaystyle\int^{3}_{-3} 8x{\cdot}\sqrt{7+2{x}^{2}}\, \mathrm d x $$ | 3 |
| 805 | $$ \displaystyle\int \dfrac{\sqrt{100-{x}^{2}}}{2{x}^{2}}\, \mathrm d x $$ | 3 |
| 806 | $$ \displaystyle\int^{3}_{-2} {x}^{2}-1\, \mathrm d x $$ | 3 |
| 807 | $$ \displaystyle\int^{1}_{0} {x}^{3}{\cdot}{\mathrm{e}}^{2x}{\cdot}\left(1+{\mathrm{e}}^{x}\right)\, \mathrm d x $$ | 3 |
| 808 | $$ \displaystyle\int \dfrac{6}{{x}^{6}}+5x+4\, \mathrm d x $$ | 3 |
| 809 | $$ \displaystyle\int 3{x}^{3}+2{x}^{2}-x+5\, \mathrm d x $$ | 3 |
| 810 | $$ x $$ | 3 |
| 811 | $$ $$ | 3 |
| 812 | $$ \displaystyle\int^{4}_{2} -x+10-{x}^{2}+4x-6\, \mathrm d x $$ | 3 |
| 813 | $$ \displaystyle\int {x}^{-1.3}\, \mathrm d x $$ | 3 |
| 814 | $$ \displaystyle\int \dfrac{1}{{x}^{2}+2x+5}\, \mathrm d x $$ | 3 |
| 815 | $$ x $$ | 3 |
| 816 | $$ \displaystyle\int^{5}_{2} \dfrac{2x}{{x}^{2}+2x-3}\, \mathrm d x $$ | 3 |
| 817 | $$ \displaystyle\int \dfrac{2x}{{x}^{2}+2x-3}\, \mathrm d x $$ | 3 |
| 818 | $$ \displaystyle\int^{1}_{0} -x+1\, \mathrm d x $$ | 3 |
| 819 | $$ \displaystyle\int \left(3x+5\right){\cdot}\cos\left(\dfrac{x}{4}\right)\, \mathrm d x $$ | 3 |
| 820 | $$ \displaystyle\int^{\pi}_{--\pi} \cos\left(x\right){\cdot}\sin\left(nx\right)\, \mathrm d x $$ | 3 |
| 821 | $$ \displaystyle\int^{\infty}_{3} {\mathrm{e}}^{-2x}\, \mathrm d x $$ | 3 |
| 822 | $$ $$ | 3 |
| 823 | $$ \displaystyle\int \dfrac{1}{\cos\left(x\right)}\, \mathrm d x $$ | 3 |
| 824 | $$ $$ | 3 |
| 825 | $$ \displaystyle\int^{1/2}_{-1/2} \dfrac{1}{x-1}\, \mathrm d x $$ | 3 |
| 826 | $$ \displaystyle\int 9{x}^{2}+x\, \mathrm d x $$ | 3 |
| 827 | $$ 1 $$ | 3 |
| 828 | $$ 1 $$ | 3 |
| 829 | | 3 |
| 830 | | 3 |
| 831 | $$ 1 $$ | 3 |
| 832 | $$ 1 $$ | 3 |
| 833 | $$ 1 $$ | 3 |
| 834 | $$ 1*if(now()=sysdate(),sleep(15),0) $$ | 3 |
| 835 | $$ (select(0)from(select(sleep(15)))v)/*+(select(0)from(select(sleep(15)))v)++(select(0)from(select(sleep(15)))v)+*/ $$ | 3 |
| 836 | | 3 |
| 837 | | 3 |
| 838 | | 3 |
| 839 | | 3 |
| 840 | | 3 |
| 841 | $$ (select 198766*667891) $$ | 3 |
| 842 | $$ (select 198766*667891 from dual) $$ | 3 |
| 843 | $$ 1 $$ | 3 |
| 844 | $$ 1 $$ | 3 |
| 845 | | 3 |
| 846 | | 3 |
| 847 | | 3 |
| 848 | | 3 |
| 849 | | 3 |
| 850 | $$ 1 $$ | 3 |
