Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 5751 | $$ \displaystyle\int \dfrac{-{x}^{3}}{2}\, \mathrm d x $$ | 1 |
| 5752 | $$ \displaystyle\int {\left(\cos\left(2x\right)\right)}^{3}{\cdot}\sin\left(2x\right)\, \mathrm d x $$ | 1 |
| 5753 | $$ \displaystyle\int \sin\left(\color{orangered}{\square}\right)\, \mathrm d x $$ | 1 |
| 5754 | $$ \displaystyle\int \dfrac{11{\cdot}\ln\left(x\right)}{x{\cdot}\sqrt{2+{\left(\ln\left(x\right)\right)}^{2}}}\, \mathrm d x $$ | 1 |
| 5755 | $$ \displaystyle\int \dfrac{10{x}^{2}+4}{\left(x-9\right){\cdot}\left(x-8\right)}\, \mathrm d x $$ | 1 |
| 5756 | $$ \displaystyle\int^{2}_{----1} 0\, \mathrm d x $$ | 1 |
| 5757 | $$ \displaystyle\int 5{\cdot}\cos\left(x\right)\, \mathrm d x $$ | 1 |
| 5758 | $$ \displaystyle\int x{\cdot}\sec\left(x\right){\cdot}\left({x}^{2}-5\right)\, \mathrm d x $$ | 1 |
| 5759 | $$ \displaystyle\int {\left({x}^{3}-4x\right)}^{4}{\cdot}\left(9{x}^{2}-12\right)\, \mathrm d x $$ | 1 |
| 5760 | $$ \displaystyle\int \dfrac{x+7}{x+9}\, \mathrm d x $$ | 1 |
| 5761 | $$ $$ | 1 |
| 5762 | $$ $$ | 1 |
| 5763 | $$ $$ | 1 |
| 5764 | $$ \displaystyle\int 3+{x}^{2}\, \mathrm d x $$ | 1 |
| 5765 | $$ \displaystyle\int \left(2{x}^{3}+5{x}^{5}\right){\cdot}\left(3{x}^{-2}+{x}^{2}\right)\, \mathrm d x $$ | 1 |
| 5766 | $$ $$ | 1 |
| 5767 | $$ $$ | 1 |
| 5768 | $$ $$ | 1 |
| 5769 | $$ $$ | 1 |
| 5770 | $$ \displaystyle\int^{-4}_{2} 23{x}^{2}-4x-16\, \mathrm d x $$ | 1 |
| 5771 | $$ \displaystyle\int \dfrac{1}{1+\dfrac{x}{a}}\, \mathrm d x $$ | 1 |
| 5772 | $$ $$ | 1 |
| 5773 | $$ $$ | 1 |
| 5774 | $$ $$ | 1 |
| 5775 | $$ $$ | 1 |
| 5776 | $$ $$ | 1 |
| 5777 | $$ $$ | 1 |
| 5778 | $$ $$ | 1 |
| 5779 | $$ $$ | 1 |
| 5780 | $$ $$ | 1 |
| 5781 | $$ $$ | 1 |
| 5782 | $$ $$ | 1 |
| 5783 | $$ $$ | 1 |
| 5784 | $$ \displaystyle\int -3{\cdot}\cos\left(\dfrac{{x}^{2}}{5}\right)\, \mathrm d x $$ | 1 |
| 5785 | $$ $$ | 1 |
| 5786 | $$ $$ | 1 |
| 5787 | $$ $$ | 1 |
| 5788 | $$ \displaystyle\int \dfrac{5x-12}{{x}^{3}-6{x}^{2}+8x}\, \mathrm d x $$ | 1 |
| 5789 | $$ \displaystyle\int \dfrac{\cos\left(x\right)}{\sqrt{2+\cos\left(x\right)}}\, \mathrm d x $$ | 1 |
| 5790 | $$ \displaystyle\int \dfrac{\cos\left(x\right)}{s}{\cdot}q{\cdot}\sqrt{t}{\cdot}\left(2+\cos\left(x\right)\right)\, \mathrm d x $$ | 1 |
| 5791 | $$ \displaystyle\int {\left(\sin\left(\dfrac{{x}^{\frac{1}{2}}}{{2}^{\frac{1}{2}}}\right)\right)}^{-1}\, \mathrm d x $$ | 1 |
| 5792 | $$ \displaystyle\int {\left(\sin\left(\dfrac{{x}^{\frac{1}{2}}}{{2}^{\frac{1}{2}}}\right)\right)}^{-1}\, \mathrm d x $$ | 1 |
| 5793 | $$ \displaystyle\int \dfrac{\sqrt{x}}{\sqrt{x}-1}\, \mathrm d x $$ | 1 |
| 5794 | $$ \displaystyle\int {x}^{5}{\cdot}\mathrm{arccsc}\left({x}^{6}+9\right)\, \mathrm d x $$ | 1 |
| 5795 | $$ \displaystyle\int {x}^{2}{\cdot}\sqrt{8+9{x}^{2}}\, \mathrm d x $$ | 1 |
| 5796 | $$ $$ | 1 |
| 5797 | $$ $$ | 1 |
| 5798 | $$ $$ | 1 |
| 5799 | $$ $$ | 1 |
| 5800 | $$ $$ | 1 |
