Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 6001 | $$ \displaystyle\int \dfrac{1}{x{\cdot}\sqrt{{x}^{2}-1}}\, \mathrm d x $$ | 1 |
| 6002 | $$ \displaystyle\int \cos\left(8\right){\cdot}{\mathrm{e}}^{0.2}{\cdot}x\, \mathrm d x $$ | 1 |
| 6003 | $$ \displaystyle\int^{3}_{0} 65+24{\cdot}\sin\left(0.3x\right)\, \mathrm d x $$ | 1 |
| 6004 | $$ \displaystyle\int^{4}_{0} 2{\cdot}{\left(1+5{x}^{3}\right)}^{\frac{1}{2}}\, \mathrm d x $$ | 1 |
| 6005 | $$ \displaystyle\int^{3}_{1} {x}^{2}-2\, \mathrm d x $$ | 1 |
| 6006 | $$ \displaystyle\int 20000{\mathrm{e}}^{-0.12x}\, \mathrm d x $$ | 1 |
| 6007 | $$ \displaystyle\int^{12}_{0} 20000{\mathrm{e}}^{-0.12x}\, \mathrm d x $$ | 1 |
| 6008 | $$ $$ | 1 |
| 6009 | $$ \displaystyle\int \dfrac{x{\cdot}{\mathrm{e}}^{x}}{{\left(1+x\right)}^{2}}\, \mathrm d x $$ | 1 |
| 6010 | $$ \displaystyle\int^{4\pi}_{0} {\mathrm{e}}^{2x}{\cdot}\left(2+2{\cdot}\sin\left(2x\right)\right)\, \mathrm d x $$ | 1 |
| 6011 | $$ \displaystyle\int^{2.5}_{0} \sin\left({x}^{2}\right)\, \mathrm d x $$ | 1 |
| 6012 | $$ $$ | 1 |
| 6013 | $$ $$ | 1 |
| 6014 | $$ $$ | 1 |
| 6015 | $$ $$ | 1 |
| 6016 | $$ $$ | 1 |
| 6017 | $$ $$ | 1 |
| 6018 | $$ \displaystyle\int {\mathrm{e}}^{\sin\left(x\right)}{\cdot}\cos\left(x\right)\, \mathrm d x $$ | 1 |
| 6019 | $$ \displaystyle\int \sin\left(x\right){\cdot}\cos\left(x\right)\, \mathrm d x $$ | 1 |
| 6020 | $$ \displaystyle\int {x}^{2}+4x-2\, \mathrm d x $$ | 1 |
| 6021 | $$ \displaystyle\int {\mathrm{e}}^{x}{\cdot}\dfrac{{x}^{4}+2}{{\left(1+{x}^{2}\right)}^{\frac{5}{2}}}\, \mathrm d x $$ | 1 |
| 6022 | $$ \displaystyle\int^{4}_{0} \left(4-sq{\cdot}\sqrt{t}{\cdot}x\right){\cdot}sq{\cdot}\sqrt{t}{\cdot}\left(1+\dfrac{1}{4x}\right)\, \mathrm d x $$ | 1 |
| 6023 | $$ \displaystyle\int^{4}_{0} \left(4-\sqrt{x}\right){\cdot}\sqrt{1+\dfrac{1}{4x}}\, \mathrm d x $$ | 1 |
| 6024 | $$ \displaystyle\int \dfrac{{x}^{2}}{x+1}{\cdot}\left({x}^{2}+1\right)\, \mathrm d x $$ | 1 |
| 6025 | $$ \displaystyle\int \dfrac{{x}^{2}}{\left(x+1\right){\cdot}\left({x}^{2}+1\right)}\, \mathrm d x $$ | 1 |
| 6026 | $$ \displaystyle\int {x}^{0.8}-\sin\left(2x-5\right)\, \mathrm d x $$ | 1 |
| 6027 | $$ \displaystyle\int \dfrac{1}{\sin\left(\color{orangered}{\square}\right)}\, \mathrm d x $$ | 1 |
| 6028 | $$ $$ | 1 |
| 6029 | $$ $$ | 1 |
| 6030 | $$ $$ | 1 |
| 6031 | $$ \displaystyle\int 988{\cdot}\sqrt{\sin\left(\sin\left(\ln\left(\ln\left(\mathrm{e}\right)\right)\right)\right)}\, \mathrm d x $$ | 1 |
| 6032 | $$ \displaystyle\int^{\pi/4}_{0} \dfrac{1}{2}{\cdot}{\left(4.8717{\cdot}\sin\left(5x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 6033 | $$ \displaystyle\int^{\pi/4}_{0} {\left(\sin\left(5x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 6034 | $$ \displaystyle\int \sqrt{9-{x}^{2}}\, \mathrm d x $$ | 1 |
| 6035 | $$ \displaystyle\int^{2}_{1} x\, \mathrm d x $$ | 1 |
| 6036 | $$ \displaystyle\int^{4}_{1} \dfrac{sq{\cdot}\sqrt{t}{\cdot}t}{{x}^{2}}\, \mathrm d x $$ | 1 |
| 6037 | $$ $$ | 1 |
| 6038 | $$ $$ | 1 |
| 6039 | $$ $$ | 1 |
| 6040 | $$ $$ | 1 |
| 6041 | $$ \displaystyle\int^{5}_{1} 5x\, \mathrm d x $$ | 1 |
| 6042 | $$ \displaystyle\int^{1}_{0} {\mathrm{e}}^{-x}\, \mathrm d x $$ | 1 |
| 6043 | $$ \displaystyle\int {x}^{7}{\cdot}{\mathrm{e}}^{3{x}^{4}}\, \mathrm d x $$ | 1 |
| 6044 | $$ $$ | 1 |
| 6045 | $$ $$ | 1 |
| 6046 | $$ $$ | 1 |
| 6047 | $$ $$ | 1 |
| 6048 | $$ $$ | 1 |
| 6049 | $$ $$ | 1 |
| 6050 | $$ $$ | 1 |
