Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 5951 | $$ $$ | 1 |
| 5952 | $$ $$ | 1 |
| 5953 | $$ \displaystyle\int \dfrac{3}{x{\cdot}\sqrt{{x}^{2}-9}}\, \mathrm d x $$ | 1 |
| 5954 | $$ \displaystyle\int \ln\left({\mathrm{e}}^{2x-1}\right)\, \mathrm d x $$ | 1 |
| 5955 | $$ \displaystyle\int \sqrt{x}+\dfrac{1}{6{\cdot}\sqrt{x}}\, \mathrm d x $$ | 1 |
| 5956 | $$ \displaystyle\int \dfrac{\dfrac{{x}^{5}}{{\left(1-{x}^{3}\right)}^{3}}}{2}\, \mathrm d x $$ | 1 |
| 5957 | $$ \displaystyle\int \dfrac{{x}^{5}}{{\left(1-{x}^{3}\right)}^{\frac{3}{2}}}\, \mathrm d x $$ | 1 |
| 5958 | $$ \displaystyle\int \dfrac{1}{{\left(2{\cdot}\ln\left(x\right)+3\right)}^{2}-1}\, \mathrm d x $$ | 1 |
| 5959 | $$ \displaystyle\int^{\infty}_{0} \dfrac{{x}^{4}}{{\mathrm{e}}^{x}-1}\, \mathrm d x $$ | 1 |
| 5960 | $$ \displaystyle\int \dfrac{\mathrm{arcsec}\left(x\right)}{x{\cdot}{\left(\sqrt{x}\right)}^{2}-1}\, \mathrm d x $$ | 1 |
| 5961 | $$ \displaystyle\int 3-\sqrt{{x}^{2}+x+4{\cdot}\cos\left(x\right)}\, \mathrm d x $$ | 1 |
| 5962 | $$ \displaystyle\int^{0}_{9} 7x{\cdot}{\mathrm{e}}^{\cos\left(x\right)}\, \mathrm d x $$ | 1 |
| 5963 | $$ \displaystyle\int \dfrac{{x}^{4}-1}{{x}^{3}{\cdot}\sqrt{{x}^{4}+{x}^{2}+1}}\, \mathrm d x $$ | 1 |
| 5964 | $$ \displaystyle\int \dfrac{{x}^{4}-1}{{x}^{2}sq{\cdot}\sqrt{t}{\cdot}\left({x}^{4}+{x}^{2}+1\right)}\, \mathrm d x $$ | 1 |
| 5965 | $$ \displaystyle\int \dfrac{{x}^{4}-1}{{x}^{2}{\cdot}\sqrt{{x}^{4}+{x}^{2}+1}}\, \mathrm d x $$ | 1 |
| 5966 | $$ \displaystyle\int \dfrac{\ln\left(x\right)-1}{1+l}\, \mathrm d x $$ | 1 |
| 5967 | $$ \displaystyle\int \dfrac{\ln\left(x\right)-1}{1+{x}^{2}}\, \mathrm d x $$ | 1 |
| 5968 | $$ \displaystyle\int {\left(\dfrac{\ln\left(x\right)-1}{1+{\left(\ln\left(x\right)\right)}^{2}}\right)}^{2}\, \mathrm d x $$ | 1 |
| 5969 | $$ \displaystyle\int \dfrac{\ln\left(x\right)-1}{1+{\left(\ln\left(x\right)\right)}^{2}}\, \mathrm d x $$ | 1 |
| 5970 | $$ \displaystyle\int {\left(\dfrac{\ln\left(x\right)-1}{1+{\left(\ln\left(x\right)\right)}^{2}}\right)}^{2}\, \mathrm d x $$ | 1 |
| 5971 | $$ \int {\exp{{\left(-\frac{{x}}{{4}}\right)}}} \, d\,x $$ | 1 |
| 5972 | $$ \int^{8}_{\infty} {\exp{{\left(-\frac{{x}}{{4}}\right)}}} \, d\,x $$ | 1 |
| 5973 | $$ \int^{1}_{0} {x}\cdot{\exp{{\left({2}\cdot{x}\right)}}} \, d\,x $$ | 1 |
| 5974 | $$ \int^{0}_{-\infty} {x}\cdot{\exp{{\left({2}\cdot{x}\right)}}} \, d\,x $$ | 1 |
| 5975 | $$ \int^{\infty}_{8} {\exp{{\left(-\frac{{x}}{{4}}\right)}}} \, d\,x $$ | 1 |
| 5976 | $$ \int^{\pi/2}_{0} \frac{{1}}{{{3}-{2}\cdot{\cos{{\left({x}\right)}}}}} \, d\,x $$ | 1 |
| 5977 | $$ \int \frac{{\exp{{\left({2}\cdot{x}\right)}}}}{{{1}+{\exp{{\left({x}\right)}}}}} \, d\,x $$ | 1 |
| 5978 | $$ \int \frac{{{x}^{{3}}+{1}}}{{{x}^{{2}}-{x}}} \, d\,x $$ | 1 |
| 5979 | $$ $$ | 1 |
| 5980 | $$ $$ | 1 |
| 5981 | $$ $$ | 1 |
| 5982 | $$ $$ | 1 |
| 5983 | $$ $$ | 1 |
| 5984 | $$ $$ | 1 |
| 5985 | $$ $$ | 1 |
| 5986 | $$ $$ | 1 |
| 5987 | $$ $$ | 1 |
| 5988 | $$ $$ | 1 |
| 5989 | $$ $$ | 1 |
| 5990 | $$ $$ | 1 |
| 5991 | $$ $$ | 1 |
| 5992 | $$ $$ | 1 |
| 5993 | $$ $$ | 1 |
| 5994 | $$ $$ | 1 |
| 5995 | $$ $$ | 1 |
| 5996 | $$ $$ | 1 |
| 5997 | $$ $$ | 1 |
| 5998 | $$ $$ | 1 |
| 5999 | $$ \displaystyle\int^{\pi/2}_{0} \color{orangered}{\square}\, \mathrm d x $$ | 1 |
| 6000 | $$ \displaystyle\int^{3}_{----2} x+2-({x}^{2}+2x)\, \mathrm d x $$ | 1 |
