Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 6001 | $$ \displaystyle\int x+2-({x}^{2}+2x)\, \mathrm d x $$ | 1 |
| 6002 | $$ $$ | 1 |
| 6003 | $$ $$ | 1 |
| 6004 | $$ $$ | 1 |
| 6005 | $$ $$ | 1 |
| 6006 | $$ $$ | 1 |
| 6007 | $$ $$ | 1 |
| 6008 | $$ $$ | 1 |
| 6009 | $$ $$ | 1 |
| 6010 | $$ $$ | 1 |
| 6011 | $$ $$ | 1 |
| 6012 | $$ $$ | 1 |
| 6013 | $$ \displaystyle\int \dfrac{1}{\left(2x+1\right){\cdot}\sqrt{{x}^{2}+1}}\, \mathrm d x $$ | 1 |
| 6014 | $$ \displaystyle\int \dfrac{1}{9{\cdot}{\left(\cos\left(x\right)\right)}^{2}-16{\cdot}{\left(\sin\left(x\right)\right)}^{2}}\, \mathrm d x $$ | 1 |
| 6015 | $$ \displaystyle\int \dfrac{2+2{\cdot}\cosh\left(x\right)-\sinh\left(x\right)}{2+2{\cdot}\cosh\left(x\right)+\sinh\left(x\right)}\, \mathrm d x $$ | 1 |
| 6016 | $$ \displaystyle\int \sin\left(3x\right)-\dfrac{1}{2}\, \mathrm d x $$ | 1 |
| 6017 | $$ \displaystyle\int^{5\pi/18}_{\pi/18} \sin\left(3x\right)-\dfrac{1}{2}\, \mathrm d x $$ | 1 |
| 6018 | $$ \displaystyle\int \dfrac{4}{x{\cdot}{\left(\ln\left(5x\right)\right)}^{7}}\, \mathrm d x $$ | 1 |
| 6019 | $$ $$ | 1 |
| 6020 | $$ $$ | 1 |
| 6021 | $$ $$ | 1 |
| 6022 | $$ $$ | 1 |
| 6023 | $$ $$ | 1 |
| 6024 | $$ $$ | 1 |
| 6025 | $$ $$ | 1 |
| 6026 | $$ $$ | 1 |
| 6027 | $$ $$ | 1 |
| 6028 | $$ $$ | 1 |
| 6029 | $$ $$ | 1 |
| 6030 | $$ $$ | 1 |
| 6031 | $$ $$ | 1 |
| 6032 | $$ \displaystyle\int \dfrac{1-4x+8{x}^{2}-8{x}^{3}}{{x}^{4}{\cdot}{\left(2{x}^{2}-2x+1\right)}^{2}}\, \mathrm d x $$ | 1 |
| 6033 | $$ \displaystyle\int x{\cdot}{\left(1+{x}^{2}\right)}^{\frac{1}{3}}\, \mathrm d x $$ | 1 |
| 6034 | $$ \displaystyle\int^{2\pi}_{\pi/2} x{\cdot}{\left(1+{x}^{2}\right)}^{\frac{1}{3}}\, \mathrm d x $$ | 1 |
| 6035 | $$ \displaystyle\int^{3}_{0} 15{\cdot}\left(3-x\right){\cdot}2{\pi}{\cdot}x\, \mathrm d x $$ | 1 |
| 6036 | $$ \displaystyle\int^{1}_{0} \dfrac{3{x}^{3}-{x}^{2}+2x-4}{s}{\cdot}qsq{\cdot}\sqrt{t}{\cdot}t{\cdot}\left({x}^{2}-3x+2\right)\, \mathrm d x $$ | 1 |
| 6037 | $$ \displaystyle\int \dfrac{{x}^{2}}{sq{\cdot}\sqrt{t}{\cdot}\left({x}^{2}-1\right)}\, \mathrm d x $$ | 1 |
| 6038 | $$ \displaystyle\int \dfrac{{x}^{2}}{\sqrt{{x}^{2}-1}}\, \mathrm d x $$ | 1 |
| 6039 | $$ \displaystyle\int \dfrac{{\left(\ln\left(x\right)\right)}^{0.5}}{x}\, \mathrm d x $$ | 1 |
| 6040 | $$ \displaystyle\int^{3}_{2} \dfrac{x}{\sqrt{{x}^{2}+x}}\, \mathrm d x $$ | 1 |
| 6041 | $$ $$ | 1 |
| 6042 | $$ $$ | 1 |
| 6043 | $$ $$ | 1 |
| 6044 | $$ \displaystyle\int^{3}_{2} \left(x+1\right){\cdot}\left(3x-5\right)\, \mathrm d x $$ | 1 |
| 6045 | $$ \displaystyle\int^{0}_{8} 13.201{\mathrm{e}}^{-0.003}\, \mathrm d x $$ | 1 |
| 6046 | $$ \displaystyle\int^{8}_{0} 13.201{\mathrm{e}}^{-0.003}\, \mathrm d x $$ | 1 |
| 6047 | $$ \displaystyle\int^{2\pi}_{0} 16{\cdot}\cos\left(x\right)-4{\cdot}{\left(\cos\left(x\right)\right)}^{2}{\cdot}\sin\left(x\right)\, \mathrm d x $$ | 1 |
| 6048 | $$ \displaystyle\int 16{\cdot}\cos\left(x\right)-4{\cdot}{\left(\cos\left(x\right)\right)}^{2}{\cdot}\sin\left(x\right)\, \mathrm d x $$ | 1 |
| 6049 | $$ \displaystyle\int^{2}_{0} \dfrac{3}{8}{\cdot}{x}^{3}\, \mathrm d x $$ | 1 |
| 6050 | $$ $$ | 1 |
