Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 6001 | $$ \displaystyle\int {x}^{2}{\cdot}\sqrt{2{x}^{3}-3}\, \mathrm d x $$ | 1 |
| 6002 | $$ \displaystyle\int \sqrt{1+{\left(1x\right)}^{2}}\, \mathrm d x $$ | 1 |
| 6003 | $$ \displaystyle\int \sqrt{3x+1}\, \mathrm d x $$ | 1 |
| 6004 | $$ \displaystyle\int x{\cdot}\sqrt{1+{x}^{2}}\, \mathrm d x $$ | 1 |
| 6005 | $$ \displaystyle\int \sqrt{\dfrac{1}{{\left(\sin\left(x\right)\right)}^{3}}}\, \mathrm d x $$ | 1 |
| 6006 | $$ \displaystyle\int \dfrac{1}{{\left(\sin\left(x\right)\right)}^{3}}\, \mathrm d x $$ | 1 |
| 6007 | $$ \displaystyle\int^{3}_{0} \dfrac{x{\cdot}{\mathrm{e}}^{x}}{{\left(1+x\right)}^{2}}\, \mathrm d x $$ | 1 |
| 6008 | $$ \displaystyle\int \dfrac{x+3}{{x}^{2}+2x-5}\, \mathrm d x $$ | 1 |
| 6009 | $$ \displaystyle\int \sqrt{{a}^{2}-{x}^{2}}\, \mathrm d x $$ | 1 |
| 6010 | $$ \displaystyle\int \dfrac{1}{\sqrt{1-{x}^{2}}}\, \mathrm d x $$ | 1 |
| 6011 | $$ $$ | 1 |
| 6012 | $$ \displaystyle\int^{1}_{----1} 6-{x}^{2}\, \mathrm d x $$ | 1 |
| 6013 | $$ \displaystyle\int^{2}_{----1} 6-{x}^{2}\, \mathrm d x $$ | 1 |
| 6014 | $$ \displaystyle\int \dfrac{1}{x{\cdot}{\left({x}^{2}+1\right)}^{\frac{1}{2}}}\, \mathrm d x $$ | 1 |
| 6015 | $$ \displaystyle\int 6000{\cdot}\left(1-\dfrac{4x}{3}\right)\, \mathrm d x $$ | 1 |
| 6016 | $$ \displaystyle\int^{0.75}_{0} 6000{\cdot}\left(1-\dfrac{4x}{3}\right)\, \mathrm d x $$ | 1 |
| 6017 | $$ \displaystyle\int \dfrac{4}{3-8{x}^{2}}\, \mathrm d x $$ | 1 |
| 6018 | $$ \displaystyle\int 5{x}^{7}\, \mathrm d x $$ | 1 |
| 6019 | $$ $$ | 1 |
| 6020 | $$ \displaystyle\int {\left(\tan\left(2\right){\cdot}x+\sec\left(2\right){\cdot}x\right)}^{3}\, \mathrm d x $$ | 1 |
| 6021 | $$ \displaystyle\int {\left(\tan\left(2x\right)+\sec\left(2x\right)\right)}^{3}\, \mathrm d x $$ | 1 |
| 6022 | $$ \displaystyle\int^{2}_{0} 5{\mathrm{e}}^{-20}\, \mathrm d x $$ | 1 |
| 6023 | $$ \displaystyle\int 5{\mathrm{e}}^{-20}\, \mathrm d x $$ | 1 |
| 6024 | $$ \displaystyle\int^{0}_{--\pi} \sin\left(x\right)\, \mathrm d x $$ | 1 |
| 6025 | $$ \displaystyle\int \dfrac{20x+15}{{x}^{2}+4x+3}\, \mathrm d x $$ | 1 |
| 6026 | $$ \displaystyle\int^{1}_{e} \dfrac{1}{x{\cdot}\ln\left(2x+4\right)}\, \mathrm d x $$ | 1 |
| 6027 | $$ \displaystyle\int^{1}_{e} {x}^{-1}{\cdot}{\left(\ln\left(2x+4\right)\right)}^{-1}\, \mathrm d x $$ | 1 |
| 6028 | $$ \displaystyle\int \dfrac{2+x}{x{\cdot}\sqrt{{x}^{4}{\cdot}{\mathrm{e}}^{2x}-1}}\, \mathrm d x $$ | 1 |
| 6029 | $$ \displaystyle\int \dfrac{1}{5000+250x}\, \mathrm d x $$ | 1 |
| 6030 | $$ \displaystyle\int {\mathrm{e}}^{-{x}^{2}}{\cdot}\sqrt{1+16{x}^{2}}{\cdot}\arcsin\left(x\right){\cdot}\sin\left(\dfrac{x+2{\cdot}\arctan\left(4x\right)}{2}\right)\, \mathrm d x $$ | 1 |
| 6031 | $$ \displaystyle\int \dfrac{3{x}^{2}+4{\cdot}\sqrt{x}}{\sqrt{x}}\, \mathrm d x $$ | 1 |
| 6032 | $$ \displaystyle\int^{\infty}_{2} \dfrac{1}{{x}^{2}+6x-7}\, \mathrm d x $$ | 1 |
| 6033 | $$ \displaystyle\int \dfrac{-10+10{x}^{3}}{x}\, \mathrm d x $$ | 1 |
| 6034 | $$ $$ | 1 |
| 6035 | $$ $$ | 1 |
| 6036 | $$ $$ | 1 |
| 6037 | $$ $$ | 1 |
| 6038 | $$ $$ | 1 |
| 6039 | $$ $$ | 1 |
| 6040 | $$ $$ | 1 |
| 6041 | $$ $$ | 1 |
| 6042 | $$ $$ | 1 |
| 6043 | $$ $$ | 1 |
| 6044 | $$ $$ | 1 |
| 6045 | $$ \displaystyle\int {\left({\mathrm{e}}^{x}\right)}^{2}\, \mathrm d x $$ | 1 |
| 6046 | $$ \displaystyle\int {x}^{2}{x}^{3}\, \mathrm d x $$ | 1 |
| 6047 | $$ \displaystyle\int^{8}_{3} {x}^{3}\, \mathrm d x $$ | 1 |
| 6048 | $$ \displaystyle\int {x}^{3}\, \mathrm d x $$ | 1 |
| 6049 | $$ \displaystyle\int^{2}_{1} {x}^{3}\, \mathrm d x $$ | 1 |
| 6050 | $$ \displaystyle\int -\cos\left(x\right){\cdot}\ln\left(x\right)\, \mathrm d x $$ | 1 |
