Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 3801 | $$ \displaystyle\int \ln\left({\mathrm{e}}^{2x-1}\right)\, \mathrm d x $$ | 1 |
| 3802 | $$ \displaystyle\int \sqrt{x}+\dfrac{1}{6{\cdot}\sqrt{x}}\, \mathrm d x $$ | 1 |
| 3803 | $$ \displaystyle\int \dfrac{\dfrac{{x}^{5}}{{\left(1-{x}^{3}\right)}^{3}}}{2}\, \mathrm d x $$ | 1 |
| 3804 | $$ \displaystyle\int \dfrac{{x}^{5}}{{\left(1-{x}^{3}\right)}^{\frac{3}{2}}}\, \mathrm d x $$ | 1 |
| 3805 | $$ \displaystyle\int \dfrac{1}{{\left(2{\cdot}\ln\left(x\right)+3\right)}^{2}-1}\, \mathrm d x $$ | 1 |
| 3806 | $$ \displaystyle\int^{\infty}_{0} \dfrac{{x}^{4}}{{\mathrm{e}}^{x}-1}\, \mathrm d x $$ | 1 |
| 3807 | $$ \displaystyle\int \dfrac{\mathrm{arcsec}\left(x\right)}{x{\cdot}{\left(\sqrt{x}\right)}^{2}-1}\, \mathrm d x $$ | 1 |
| 3808 | $$ \displaystyle\int 3-\sqrt{{x}^{2}+x+4{\cdot}\cos\left(x\right)}\, \mathrm d x $$ | 1 |
| 3809 | $$ \displaystyle\int^{0}_{9} 7x{\cdot}{\mathrm{e}}^{\cos\left(x\right)}\, \mathrm d x $$ | 1 |
| 3810 | $$ \displaystyle\int \dfrac{{x}^{4}-1}{{x}^{3}{\cdot}\sqrt{{x}^{4}+{x}^{2}+1}}\, \mathrm d x $$ | 1 |
| 3811 | $$ \displaystyle\int \dfrac{{x}^{4}-1}{{x}^{2}sq{\cdot}\sqrt{t}{\cdot}\left({x}^{4}+{x}^{2}+1\right)}\, \mathrm d x $$ | 1 |
| 3812 | $$ \displaystyle\int \dfrac{{x}^{4}-1}{{x}^{2}{\cdot}\sqrt{{x}^{4}+{x}^{2}+1}}\, \mathrm d x $$ | 1 |
| 3813 | $$ \displaystyle\int \dfrac{\ln\left(x\right)-1}{1+l}\, \mathrm d x $$ | 1 |
| 3814 | $$ \displaystyle\int \dfrac{\ln\left(x\right)-1}{1+{x}^{2}}\, \mathrm d x $$ | 1 |
| 3815 | $$ \displaystyle\int {\left(\dfrac{\ln\left(x\right)-1}{1+{\left(\ln\left(x\right)\right)}^{2}}\right)}^{2}\, \mathrm d x $$ | 1 |
| 3816 | $$ \displaystyle\int \dfrac{\ln\left(x\right)-1}{1+{\left(\ln\left(x\right)\right)}^{2}}\, \mathrm d x $$ | 1 |
| 3817 | $$ \displaystyle\int {\left(\dfrac{\ln\left(x\right)-1}{1+{\left(\ln\left(x\right)\right)}^{2}}\right)}^{2}\, \mathrm d x $$ | 1 |
| 3818 | $$ \int {\exp{{\left(-\frac{{x}}{{4}}\right)}}} \, d\,x $$ | 1 |
| 3819 | $$ \int^{8}_{\infty} {\exp{{\left(-\frac{{x}}{{4}}\right)}}} \, d\,x $$ | 1 |
| 3820 | $$ \int^{1}_{0} {x}\cdot{\exp{{\left({2}\cdot{x}\right)}}} \, d\,x $$ | 1 |
| 3821 | $$ \int^{0}_{-\infty} {x}\cdot{\exp{{\left({2}\cdot{x}\right)}}} \, d\,x $$ | 1 |
| 3822 | $$ \int^{\infty}_{8} {\exp{{\left(-\frac{{x}}{{4}}\right)}}} \, d\,x $$ | 1 |
| 3823 | $$ \int^{\pi/2}_{0} \frac{{1}}{{{3}-{2}\cdot{\cos{{\left({x}\right)}}}}} \, d\,x $$ | 1 |
| 3824 | $$ \int \frac{{\exp{{\left({2}\cdot{x}\right)}}}}{{{1}+{\exp{{\left({x}\right)}}}}} \, d\,x $$ | 1 |
| 3825 | $$ \int \frac{{{x}^{{3}}+{1}}}{{{x}^{{2}}-{x}}} \, d\,x $$ | 1 |
| 3826 | $$ $$ | 1 |
| 3827 | $$ $$ | 1 |
| 3828 | $$ $$ | 1 |
| 3829 | $$ $$ | 1 |
| 3830 | $$ $$ | 1 |
| 3831 | $$ $$ | 1 |
| 3832 | $$ $$ | 1 |
| 3833 | $$ $$ | 1 |
| 3834 | $$ $$ | 1 |
| 3835 | $$ $$ | 1 |
| 3836 | $$ $$ | 1 |
| 3837 | $$ $$ | 1 |
| 3838 | $$ $$ | 1 |
| 3839 | $$ $$ | 1 |
| 3840 | $$ $$ | 1 |
| 3841 | $$ $$ | 1 |
| 3842 | $$ $$ | 1 |
| 3843 | $$ $$ | 1 |
| 3844 | $$ $$ | 1 |
| 3845 | $$ $$ | 1 |
| 3846 | $$ \displaystyle\int^{\pi/2}_{0} \color{orangered}{\square}\, \mathrm d x $$ | 1 |
| 3847 | $$ \displaystyle\int^{3}_{----2} x+2-({x}^{2}+2x)\, \mathrm d x $$ | 1 |
| 3848 | $$ \displaystyle\int x+2-({x}^{2}+2x)\, \mathrm d x $$ | 1 |
| 3849 | $$ $$ | 1 |
| 3850 | $$ $$ | 1 |
