Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 4051 | $$ $$ | 1 |
| 4052 | $$ $$ | 1 |
| 4053 | $$ $$ | 1 |
| 4054 | $$ \displaystyle\int^{2}_{5} \dfrac{5}{2x-0.02}\, \mathrm d x $$ | 1 |
| 4055 | $$ \int {\left({5}{x}+{3}\right)} \, d\,x $$ | 1 |
| 4056 | $$ $$ | 1 |
| 4057 | $$ $$ | 1 |
| 4058 | $$ $$ | 1 |
| 4059 | $$ $$ | 1 |
| 4060 | $$ $$ | 1 |
| 4061 | $$ $$ | 1 |
| 4062 | $$ \displaystyle\int 4{\cdot}\sqrt{\tan\left(\color{orangered}{\square}\right)}\, \mathrm d x $$ | 1 |
| 4063 | $$ $$ | 1 |
| 4064 | $$ \displaystyle\int^{1}_{0} 3{x}^{2}{\cdot}{\mathrm{e}}^{-x}\, \mathrm d x $$ | 1 |
| 4065 | $$ \displaystyle\int \dfrac{7{\cdot}\cos\left(6x\right)}{4{\cdot}{\left(\sin\left(6x\right)+4\right)}^{3}}\, \mathrm d x $$ | 1 |
| 4066 | $$ \displaystyle\int \dfrac{1}{{\left({x}^{2}+4\right)}^{\frac{3}{2}}}\, \mathrm d x $$ | 1 |
| 4067 | $$ \displaystyle\int \dfrac{-2}{\sqrt{-{x}^{2}-5x+1}}\, \mathrm d x $$ | 1 |
| 4068 | $$ \displaystyle\int 6{x}^{2}-13x+6\, \mathrm d x $$ | 1 |
| 4069 | $$ \displaystyle\int \dfrac{\sin\left(2x\right)-\cos\left(2x\right)}{{\left(\sin\left(2x\right)+\cos\left(2x\right)\right)}^{2}}\, \mathrm d x $$ | 1 |
| 4070 | $$ \displaystyle\int \mathrm{e}^{x}{\cdot}\sqrt{\mathrm{e}^{x}+4}\, \mathrm d x $$ | 1 |
| 4071 | $$ \displaystyle\int \mathrm{e}^{x}{\cdot}\sqrt{\mathrm{e}^{x}+4}\, \mathrm d x $$ | 1 |
| 4072 | $$ \displaystyle\int \left(2x-3\right){\cdot}\sin\left(2x\right)\, \mathrm d x $$ | 1 |
| 4073 | $$ \displaystyle\int {x}^{10}-7{x}^{9}+8{x}^{8}\, \mathrm d x $$ | 1 |
| 4074 | $$ \displaystyle\int \sqrt{3-2}{\cdot}x{x}^{2}\, \mathrm d x $$ | 1 |
| 4075 | $$ $$ | 1 |
| 4076 | $$ $$ | 1 |
| 4077 | $$ \displaystyle\int 0.1\, \mathrm d x $$ | 1 |
| 4078 | $$ \displaystyle\int 0\, \mathrm d x $$ | 1 |
| 4079 | $$ \displaystyle\int \sqrt{\dfrac{{\left(x+1\right)}^{4}+4}{{\left(x+1\right)}^{4}}}\, \mathrm d x $$ | 1 |
| 4080 | $$ \int {\left({2}{x}+{1}\right)} \, d\,x $$ | 1 |
| 4081 | $$ \displaystyle\int^{1}_{0} {\mathrm{e}}^{x}{\cdot}{x}^{2}\, \mathrm d x $$ | 1 |
| 4082 | $$ $$ | 1 |
| 4083 | $$ $$ | 1 |
| 4084 | $$ \displaystyle\int^{3}_{----1} x\, \mathrm d x $$ | 1 |
| 4085 | $$ \displaystyle\int \dfrac{24}{49{\cdot}\left(2x+1\right)}\, \mathrm d x $$ | 1 |
| 4086 | $$ \displaystyle\int \left(1-2x\right){\cdot}\sin\left(\dfrac{2}{3}\right){\cdot}x\, \mathrm d x $$ | 1 |
| 4087 | $$ \displaystyle\int \sin\left(5x\right){\cdot}\cos\left(2x\right)\, \mathrm d x $$ | 1 |
| 4088 | $$ \displaystyle\int \dfrac{\sqrt{x-1}}{{x}^{2}}\, \mathrm d x $$ | 1 |
| 4089 | $$ \displaystyle\int {4}^{x}{\cdot}\sin\left({4}^{x}\right)\, \mathrm d x $$ | 1 |
| 4090 | $$ $$ | 1 |
| 4091 | $$ \displaystyle\int \dfrac{1}{2}+\dfrac{1}{2}{\cdot}{\left(\sin\left(\dfrac{{\pi}}{2}{\cdot}\left(t-\dfrac{4i}{a}-\dfrac{{\pi}}{2}\right)\right)\right)}^{\frac{a}{2}}\, \mathrm d x $$ | 1 |
| 4092 | $$ \displaystyle\int \dfrac{1}{2}+\dfrac{1}{2}{\cdot}{\left(\sin\left(\dfrac{{\pi}}{2}{\cdot}\left(t-\dfrac{4c}{a}-\dfrac{{\pi}}{2}\right)\right)\right)}^{\frac{a}{2}}\, \mathrm d x $$ | 1 |
| 4093 | $$ \displaystyle\int x{\cdot}{\left(\cos\left(x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 4094 | $$ $$ | 1 |
| 4095 | $$ \displaystyle\int \dfrac{{x}^{2}}{\sqrt{{x}^{2}-25}}\, \mathrm d x $$ | 1 |
| 4096 | $$ \displaystyle\int \sqrt{1-36{x}^{2}}\, \mathrm d x $$ | 1 |
| 4097 | $$ $$ | 1 |
| 4098 | $$ $$ | 1 |
| 4099 | $$ $$ | 1 |
| 4100 | $$ $$ | 1 |
