Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 6101 | $$ $$ | 1 |
| 6102 | $$ $$ | 1 |
| 6103 | $$ $$ | 1 |
| 6104 | $$ \displaystyle\int \dfrac{1}{\sqrt{x}{\cdot}\left(x+7\right)}\, \mathrm d x $$ | 1 |
| 6105 | $$ \displaystyle\int \sqrt{\cos\left(4\right)}{\cdot}x\, \mathrm d x $$ | 1 |
| 6106 | $$ \int {78}{\sin{{\left({96}+{3}{\exp{{\left({1}\right)}}}\right)}}} \, d\,x $$ | 1 |
| 6107 | $$ \displaystyle\int^{5}_{0} x{\cdot}\left(x-1\right){\cdot}\left(x-2\right){\cdot}\left(x-3\right){\cdot}\left(x-4\right){\cdot}\left(x-5\right)\, \mathrm d x $$ | 1 |
| 6108 | $$ \displaystyle\int^{\pi}_{3} x{\cdot}\left(x-1\right){\cdot}\left(x-2\right){\cdot}\left(x-3\right)\, \mathrm d x $$ | 1 |
| 6109 | $$ $$ | 1 |
| 6110 | $$ \displaystyle\int \sin\left(5x+3\right)\, \mathrm d x $$ | 1 |
| 6111 | $$ \displaystyle\int {\mathrm{e}}^{5x+3}\, \mathrm d x $$ | 1 |
| 6112 | $$ \displaystyle\int {\left(5x+3\right)}^{3}\, \mathrm d x $$ | 1 |
| 6113 | $$ \displaystyle\int {\left(5x\right)}^{3}\, \mathrm d x $$ | 1 |
| 6114 | $$ \displaystyle\int \dfrac{6}{2x-3}\, \mathrm d x $$ | 1 |
| 6115 | $$ \displaystyle\int \dfrac{6x}{2{x}^{2}-3}\, \mathrm d x $$ | 1 |
| 6116 | $$ $$ | 1 |
| 6117 | $$ $$ | 1 |
| 6118 | $$ \displaystyle\int^{10}_{2} \dfrac{1}{2}{\cdot}{x}^{2}-6x\, \mathrm d x $$ | 1 |
| 6119 | $$ \displaystyle\int^{10}_{2} \dfrac{1}{2}{\cdot}{x}^{2}-6x+18\, \mathrm d x $$ | 1 |
| 6120 | $$ \displaystyle\int \dfrac{1}{{x}^{2}+4}\, \mathrm d x $$ | 1 |
| 6121 | $$ \displaystyle\int^{4}_{2} \dfrac{1}{2}{\cdot}{x}^{2}-6x+16\, \mathrm d x $$ | 1 |
| 6122 | $$ \displaystyle\int \dfrac{-\ln\left(1+x\right)}{1+{x}^{2}}\, \mathrm d x $$ | 1 |
| 6123 | $$ \displaystyle\int^{1}_{0} \dfrac{-\ln\left(1+x\right)}{1+{x}^{2}}\, \mathrm d x $$ | 1 |
| 6124 | $$ $$ | 1 |
| 6125 | $$ $$ | 1 |
| 6126 | $$ $$ | 1 |
| 6127 | $$ $$ | 1 |
| 6128 | $$ $$ | 1 |
| 6129 | $$ $$ | 1 |
| 6130 | $$ $$ | 1 |
| 6131 | $$ $$ | 1 |
| 6132 | $$ $$ | 1 |
| 6133 | $$ \displaystyle\int^{\pi}_{0} \dfrac{2}{{\pi}}{\cdot}{\left(\sin\left(x\right)\right)}^{2}{\cdot}\sin\left(nx\right)\, \mathrm d x $$ | 1 |
| 6134 | $$ \displaystyle\int 1-{\mathrm{e}}^{-t}\, \mathrm d x $$ | 1 |
| 6135 | $$ \displaystyle\int 1-{\mathrm{e}}^{-t}\, \mathrm d x $$ | 1 |
| 6136 | $$ \displaystyle\int^{\pi/2}_{0} \ln\left(\tan\left(x\right)\right)\, \mathrm d x $$ | 1 |
| 6137 | $$ \displaystyle\int \dfrac{3}{3-x}\, \mathrm d x $$ | 1 |
| 6138 | $$ $$ | 1 |
| 6139 | $$ $$ | 1 |
| 6140 | $$ $$ | 1 |
| 6141 | $$ \int \frac{{7}}{{\left({8}-{x}\right)}^{{4}}} \, d\,x $$ | 1 |
| 6142 | $$ \int {\left({2}{x}-{1}\right)}^{{3}} \, d\,x $$ | 1 |
| 6143 | $$ \int {\left({2}{x}-{1}\right)}^{{5}} \, d\,x $$ | 1 |
| 6144 | $$ \displaystyle\int {\mathrm{e}}^{-{t}^{3}}\, \mathrm d x $$ | 1 |
| 6145 | $$ \displaystyle\int {\mathrm{e}}^{x}{\cdot}\sin\left(x\right){\cdot}\cos\left(x\right)\, \mathrm d x $$ | 1 |
| 6146 | $$ \displaystyle\int \dfrac{1-2x}{{x}^{3}}\, \mathrm d x $$ | 1 |
| 6147 | $$ \displaystyle\int \dfrac{{\mathrm{e}}^{-2}{\cdot}x}{\dfrac{1{\cdot}1}{5}}\, \mathrm d x $$ | 1 |
| 6148 | $$ \displaystyle\int 6{\mathrm{e}}^{3x}\, \mathrm d x $$ | 1 |
| 6149 | $$ \displaystyle\int {3}^{3x}{\cdot}{3}^{x}\, \mathrm d x $$ | 1 |
| 6150 | $$ \displaystyle\int \dfrac{1}{x{\cdot}\sqrt{{x}^{2}-1}}\, \mathrm d x $$ | 1 |
