Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 4101 | $$ $$ | 1 |
| 4102 | $$ $$ | 1 |
| 4103 | $$ $$ | 1 |
| 4104 | $$ $$ | 1 |
| 4105 | $$ $$ | 1 |
| 4106 | $$ $$ | 1 |
| 4107 | $$ $$ | 1 |
| 4108 | $$ \displaystyle\int \dfrac{x-2}{{x}^{2}{\cdot}\left(x+1\right)}\, \mathrm d x $$ | 1 |
| 4109 | $$ \displaystyle\int^{1}_{0} \dfrac{x}{2x+1}\, \mathrm d x $$ | 1 |
| 4110 | $$ \displaystyle\int^{3}_{0} \dfrac{x+4}{\sqrt{4-x}}\, \mathrm d x $$ | 1 |
| 4111 | $$ \displaystyle\int \left(2x+1\right){\cdot}\ln\left(x\right)\, \mathrm d x $$ | 1 |
| 4112 | $$ \displaystyle\int^{2}_{1} {x}^{3}{\cdot}\ln\left(x\right)\, \mathrm d x $$ | 1 |
| 4113 | $$ \displaystyle\int^{\pi/2}_{-\pi/2} x{\cdot}\cos\left(x\right)\, \mathrm d x $$ | 1 |
| 4114 | $$ \displaystyle\int^{1}_{0} {x}^{2}{\cdot}{\mathrm{e}}^{-x}\, \mathrm d x $$ | 1 |
| 4115 | $$ \displaystyle\int \dfrac{1}{{t}^{2}-t}\, \mathrm d x $$ | 1 |
| 4116 | $$ \displaystyle\int \dfrac{1}{{x}^{2}-x}\, \mathrm d x $$ | 1 |
| 4117 | $$ \displaystyle\int 1.5\, \mathrm d x $$ | 1 |
| 4118 | $$ \displaystyle\int^{\infty}_{0} \dfrac{{x}^{3}}{{\left(1+x\right)}^{5}}\, \mathrm d x $$ | 1 |
| 4119 | $$ $$ | 1 |
| 4120 | $$ $$ | 1 |
| 4121 | $$ \displaystyle\int \dfrac{{\left(x-2\right)}^{2}}{\sqrt{x}}\, \mathrm d x $$ | 1 |
| 4122 | $$ \displaystyle\int \dfrac{{x}^{3}}{x+1}\, \mathrm d x $$ | 1 |
| 4123 | $$ \displaystyle\int \dfrac{{\left(7x+11\right)}^{5}}{4}\, \mathrm d x $$ | 1 |
| 4124 | $$ \displaystyle\int {\left(7x+11\right)}^{\frac{5}{4}}\, \mathrm d x $$ | 1 |
| 4125 | $$ \displaystyle\int \dfrac{5x-3}{\sqrt{1}}+4x-2{x}^{2}\, \mathrm d x $$ | 1 |
| 4126 | $$ $$ | 1 |
| 4127 | $$ $$ | 1 |
| 4128 | $$ $$ | 1 |
| 4129 | $$ \displaystyle\int^{\infty}_{0} \dfrac{\mathrm{e}^{-{x}^{2}}}{\sqrt{x}}\, \mathrm d x $$ | 1 |
| 4130 | $$ \displaystyle\int \dfrac{\mathrm{e}^{-{x}^{2}+i{\cdot}cx}}{\sqrt{x}}\, \mathrm d x $$ | 1 |
| 4131 | $$ \displaystyle\int i{\cdot}nt{\cdot}\mathrm{e}{\cdot}grat{\cdot}\mathrm{e}{\cdot}\sqrt{\dfrac{{\mathrm{e}}^{x}-1}{{\mathrm{e}}^{x}+1}}\, \mathrm d x $$ | 1 |
| 4132 | $$ \displaystyle\int \dfrac{1}{{\mathrm{e}}^{x}+1}\, \mathrm d x $$ | 1 |
| 4133 | $$ \displaystyle\int \dfrac{{\mathrm{e}}^{2x}}{{\mathrm{e}}^{x}+1}\, \mathrm d x $$ | 1 |
| 4134 | $$ \displaystyle\int {\mathrm{e}}^{\frac{-x}{2}}\, \mathrm d x $$ | 1 |
| 4135 | $$ \displaystyle\int^{\infty}_{0} {\mathrm{e}}^{\frac{-x}{2}}\, \mathrm d x $$ | 1 |
| 4136 | $$ \displaystyle\int \dfrac{{x}^{2}-2}{2{\mathrm{e}}^{x}{\cdot}{x}^{3}}\, \mathrm d x $$ | 1 |
| 4137 | $$ \displaystyle\int {\left({x}^{4}+16\right)}^{\frac{1}{4}}\, \mathrm d x $$ | 1 |
| 4138 | $$ \displaystyle\int {\left({x}^{4}+a\right)}^{\frac{1}{4}}\, \mathrm d x $$ | 1 |
| 4139 | $$ $$ | 1 |
| 4140 | $$ $$ | 1 |
| 4141 | $$ $$ | 1 |
| 4142 | $$ \displaystyle\int^{1}_{0} \dfrac{{\mathrm{e}}^{x}}{{\left(x+1\right)}^{2}}\, \mathrm d x $$ | 1 |
| 4143 | $$ $$ | 1 |
| 4144 | $$ \displaystyle\int {x}^{3}{\cdot}{\left(2{x}^{2}+1\right)}^{\frac{1}{2}}\, \mathrm d x $$ | 1 |
| 4145 | $$ \displaystyle\int^{1}_{0} \dfrac{1}{{7}^{\frac{1}{x}}}\, \mathrm d x $$ | 1 |
| 4146 | $$ \int {\left({\cot{{\left({x}\right)}}}\right)}+{\ln{{\left({x}\right)}}}-{\tan{{\left({x}\right)}}} \, d\,x $$ | 1 |
| 4147 | $$ \displaystyle\int^{6}_{0} {\mathrm{e}}^{{x}^{3}}\, \mathrm d x $$ | 1 |
| 4148 | $$ \int^{\pi/2}_{\pi/3} {x}-{\cos{{\left(\frac{{x}}{{2}}\right)}}} \, d\,x $$ | 1 |
| 4149 | $$ \int {5}{\cos{{\left(\frac{{x}}{{2}}\right)}}} \, d\,x $$ | 1 |
| 4150 | $$ \int {5}{\cos{{\left({2}{x}\right)}}} \, d\,x $$ | 1 |
