Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 7051 | $$ \displaystyle\int^{10}_{2} \dfrac{1}{2}{\cdot}{x}^{2}-6x\, \mathrm d x $$ | 1 |
| 7052 | $$ \displaystyle\int^{10}_{2} \dfrac{1}{2}{\cdot}{x}^{2}-6x+18\, \mathrm d x $$ | 1 |
| 7053 | $$ \displaystyle\int \dfrac{1}{{x}^{2}+4}\, \mathrm d x $$ | 1 |
| 7054 | $$ \displaystyle\int^{4}_{2} \dfrac{1}{2}{\cdot}{x}^{2}-6x+16\, \mathrm d x $$ | 1 |
| 7055 | $$ \displaystyle\int \dfrac{-\ln\left(1+x\right)}{1+{x}^{2}}\, \mathrm d x $$ | 1 |
| 7056 | $$ \displaystyle\int^{1}_{0} \dfrac{-\ln\left(1+x\right)}{1+{x}^{2}}\, \mathrm d x $$ | 1 |
| 7057 | $$ $$ | 1 |
| 7058 | $$ $$ | 1 |
| 7059 | $$ $$ | 1 |
| 7060 | $$ $$ | 1 |
| 7061 | $$ $$ | 1 |
| 7062 | $$ $$ | 1 |
| 7063 | $$ $$ | 1 |
| 7064 | $$ $$ | 1 |
| 7065 | $$ $$ | 1 |
| 7066 | $$ \displaystyle\int^{\pi}_{0} \dfrac{2}{{\pi}}{\cdot}{\left(\sin\left(x\right)\right)}^{2}{\cdot}\sin\left(nx\right)\, \mathrm d x $$ | 1 |
| 7067 | $$ \displaystyle\int 1-{\mathrm{e}}^{-t}\, \mathrm d x $$ | 1 |
| 7068 | $$ \displaystyle\int 1-{\mathrm{e}}^{-t}\, \mathrm d x $$ | 1 |
| 7069 | $$ \displaystyle\int^{\pi/2}_{0} \ln\left(\tan\left(x\right)\right)\, \mathrm d x $$ | 1 |
| 7070 | $$ \displaystyle\int \dfrac{3}{3-x}\, \mathrm d x $$ | 1 |
| 7071 | $$ $$ | 1 |
| 7072 | $$ $$ | 1 |
| 7073 | $$ $$ | 1 |
| 7074 | $$ \int \frac{{7}}{{\left({8}-{x}\right)}^{{4}}} \, d\,x $$ | 1 |
| 7075 | $$ \int {\left({2}{x}-{1}\right)}^{{3}} \, d\,x $$ | 1 |
| 7076 | $$ \int {\left({2}{x}-{1}\right)}^{{5}} \, d\,x $$ | 1 |
| 7077 | $$ \displaystyle\int {\mathrm{e}}^{-{t}^{3}}\, \mathrm d x $$ | 1 |
| 7078 | $$ \displaystyle\int {\mathrm{e}}^{x}{\cdot}\sin\left(x\right){\cdot}\cos\left(x\right)\, \mathrm d x $$ | 1 |
| 7079 | $$ \displaystyle\int \dfrac{1-2x}{{x}^{3}}\, \mathrm d x $$ | 1 |
| 7080 | $$ \displaystyle\int \dfrac{{\mathrm{e}}^{-2}{\cdot}x}{\dfrac{1{\cdot}1}{5}}\, \mathrm d x $$ | 1 |
| 7081 | $$ \displaystyle\int 6{\mathrm{e}}^{3x}\, \mathrm d x $$ | 1 |
| 7082 | $$ \displaystyle\int {3}^{3x}{\cdot}{3}^{x}\, \mathrm d x $$ | 1 |
| 7083 | $$ \displaystyle\int \dfrac{1}{x{\cdot}\sqrt{{x}^{2}-1}}\, \mathrm d x $$ | 1 |
| 7084 | $$ \displaystyle\int \cos\left(8\right){\cdot}{\mathrm{e}}^{0.2}{\cdot}x\, \mathrm d x $$ | 1 |
| 7085 | $$ \displaystyle\int^{3}_{0} 65+24{\cdot}\sin\left(0.3x\right)\, \mathrm d x $$ | 1 |
| 7086 | $$ \displaystyle\int^{4}_{0} 2{\cdot}{\left(1+5{x}^{3}\right)}^{\frac{1}{2}}\, \mathrm d x $$ | 1 |
| 7087 | $$ \displaystyle\int^{3}_{1} {x}^{2}-2\, \mathrm d x $$ | 1 |
| 7088 | $$ \displaystyle\int 20000{\mathrm{e}}^{-0.12x}\, \mathrm d x $$ | 1 |
| 7089 | $$ \displaystyle\int^{12}_{0} 20000{\mathrm{e}}^{-0.12x}\, \mathrm d x $$ | 1 |
| 7090 | $$ $$ | 1 |
| 7091 | $$ \displaystyle\int \dfrac{x{\cdot}{\mathrm{e}}^{x}}{{\left(1+x\right)}^{2}}\, \mathrm d x $$ | 1 |
| 7092 | $$ \displaystyle\int^{4\pi}_{0} {\mathrm{e}}^{2x}{\cdot}\left(2+2{\cdot}\sin\left(2x\right)\right)\, \mathrm d x $$ | 1 |
| 7093 | $$ \displaystyle\int^{2.5}_{0} \sin\left({x}^{2}\right)\, \mathrm d x $$ | 1 |
| 7094 | $$ $$ | 1 |
| 7095 | $$ $$ | 1 |
| 7096 | $$ $$ | 1 |
| 7097 | $$ $$ | 1 |
| 7098 | $$ $$ | 1 |
| 7099 | $$ $$ | 1 |
| 7100 | $$ \displaystyle\int {\mathrm{e}}^{\sin\left(x\right)}{\cdot}\cos\left(x\right)\, \mathrm d x $$ | 1 |
