Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 5801 | $$ \displaystyle\int^{10}_{0} \cos\left(\dfrac{2{\pi}{\cdot}x}{l}\right)\, \mathrm d x $$ | 1 |
| 5802 | $$ $$ | 1 |
| 5803 | $$ $$ | 1 |
| 5804 | $$ \displaystyle\int \dfrac{3}{x{\cdot}\sqrt{{x}^{2}-9}}\, \mathrm d x $$ | 1 |
| 5805 | $$ \displaystyle\int \ln\left({\mathrm{e}}^{2x-1}\right)\, \mathrm d x $$ | 1 |
| 5806 | $$ \displaystyle\int \sqrt{x}+\dfrac{1}{6{\cdot}\sqrt{x}}\, \mathrm d x $$ | 1 |
| 5807 | $$ \displaystyle\int \dfrac{\dfrac{{x}^{5}}{{\left(1-{x}^{3}\right)}^{3}}}{2}\, \mathrm d x $$ | 1 |
| 5808 | $$ \displaystyle\int \dfrac{{x}^{5}}{{\left(1-{x}^{3}\right)}^{\frac{3}{2}}}\, \mathrm d x $$ | 1 |
| 5809 | $$ \displaystyle\int \dfrac{1}{{\left(2{\cdot}\ln\left(x\right)+3\right)}^{2}-1}\, \mathrm d x $$ | 1 |
| 5810 | $$ \displaystyle\int^{\infty}_{0} \dfrac{{x}^{4}}{{\mathrm{e}}^{x}-1}\, \mathrm d x $$ | 1 |
| 5811 | $$ \displaystyle\int \dfrac{\mathrm{arcsec}\left(x\right)}{x{\cdot}{\left(\sqrt{x}\right)}^{2}-1}\, \mathrm d x $$ | 1 |
| 5812 | $$ \displaystyle\int 3-\sqrt{{x}^{2}+x+4{\cdot}\cos\left(x\right)}\, \mathrm d x $$ | 1 |
| 5813 | $$ \displaystyle\int^{0}_{9} 7x{\cdot}{\mathrm{e}}^{\cos\left(x\right)}\, \mathrm d x $$ | 1 |
| 5814 | $$ \displaystyle\int \dfrac{{x}^{4}-1}{{x}^{3}{\cdot}\sqrt{{x}^{4}+{x}^{2}+1}}\, \mathrm d x $$ | 1 |
| 5815 | $$ \displaystyle\int \dfrac{{x}^{4}-1}{{x}^{2}sq{\cdot}\sqrt{t}{\cdot}\left({x}^{4}+{x}^{2}+1\right)}\, \mathrm d x $$ | 1 |
| 5816 | $$ \displaystyle\int \dfrac{{x}^{4}-1}{{x}^{2}{\cdot}\sqrt{{x}^{4}+{x}^{2}+1}}\, \mathrm d x $$ | 1 |
| 5817 | $$ \displaystyle\int \dfrac{\ln\left(x\right)-1}{1+l}\, \mathrm d x $$ | 1 |
| 5818 | $$ \displaystyle\int \dfrac{\ln\left(x\right)-1}{1+{x}^{2}}\, \mathrm d x $$ | 1 |
| 5819 | $$ \displaystyle\int {\left(\dfrac{\ln\left(x\right)-1}{1+{\left(\ln\left(x\right)\right)}^{2}}\right)}^{2}\, \mathrm d x $$ | 1 |
| 5820 | $$ \displaystyle\int \dfrac{\ln\left(x\right)-1}{1+{\left(\ln\left(x\right)\right)}^{2}}\, \mathrm d x $$ | 1 |
| 5821 | $$ \displaystyle\int {\left(\dfrac{\ln\left(x\right)-1}{1+{\left(\ln\left(x\right)\right)}^{2}}\right)}^{2}\, \mathrm d x $$ | 1 |
| 5822 | $$ \int {\exp{{\left(-\frac{{x}}{{4}}\right)}}} \, d\,x $$ | 1 |
| 5823 | $$ \int^{8}_{\infty} {\exp{{\left(-\frac{{x}}{{4}}\right)}}} \, d\,x $$ | 1 |
| 5824 | $$ \int^{1}_{0} {x}\cdot{\exp{{\left({2}\cdot{x}\right)}}} \, d\,x $$ | 1 |
| 5825 | $$ \int^{0}_{-\infty} {x}\cdot{\exp{{\left({2}\cdot{x}\right)}}} \, d\,x $$ | 1 |
| 5826 | $$ \int^{\infty}_{8} {\exp{{\left(-\frac{{x}}{{4}}\right)}}} \, d\,x $$ | 1 |
| 5827 | $$ \int^{\pi/2}_{0} \frac{{1}}{{{3}-{2}\cdot{\cos{{\left({x}\right)}}}}} \, d\,x $$ | 1 |
| 5828 | $$ \int \frac{{\exp{{\left({2}\cdot{x}\right)}}}}{{{1}+{\exp{{\left({x}\right)}}}}} \, d\,x $$ | 1 |
| 5829 | $$ \int \frac{{{x}^{{3}}+{1}}}{{{x}^{{2}}-{x}}} \, d\,x $$ | 1 |
| 5830 | $$ $$ | 1 |
| 5831 | $$ $$ | 1 |
| 5832 | $$ $$ | 1 |
| 5833 | $$ $$ | 1 |
| 5834 | $$ $$ | 1 |
| 5835 | $$ $$ | 1 |
| 5836 | $$ $$ | 1 |
| 5837 | $$ $$ | 1 |
| 5838 | $$ $$ | 1 |
| 5839 | $$ $$ | 1 |
| 5840 | $$ $$ | 1 |
| 5841 | $$ $$ | 1 |
| 5842 | $$ $$ | 1 |
| 5843 | $$ $$ | 1 |
| 5844 | $$ $$ | 1 |
| 5845 | $$ $$ | 1 |
| 5846 | $$ $$ | 1 |
| 5847 | $$ $$ | 1 |
| 5848 | $$ $$ | 1 |
| 5849 | $$ $$ | 1 |
| 5850 | $$ \displaystyle\int^{\pi/2}_{0} \color{orangered}{\square}\, \mathrm d x $$ | 1 |
