Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 6951 | $$ \displaystyle\int {x}^{2}{\cdot}{\mathrm{e}}^{{x}^{3}+1}\, \mathrm d x $$ | 1 |
| 6952 | $$ \displaystyle\int^{2}_{-1} {x}^{2}{\cdot}{\mathrm{e}}^{{x}^{3}+1}\, \mathrm d x $$ | 1 |
| 6953 | $$ \displaystyle\int^{-\pi/4}_{-\pi/3} \dfrac{-\sin\left(x\right)}{{\left(\cos\left(x\right)\right)}^{2}}\, \mathrm d x $$ | 1 |
| 6954 | $$ \displaystyle\int^{0}_{-\pi} \dfrac{\sin\left(x\right)}{3+\cos\left(x\right)}\, \mathrm d x $$ | 1 |
| 6955 | $$ \displaystyle\int^{0}_{-\pi} x{\cdot}\left(x-1\right){\cdot}\left(x-3\right)\, \mathrm d x $$ | 1 |
| 6956 | $$ \displaystyle\int^{3}_{0} x{\cdot}\left(x-1\right){\cdot}\left(x-3\right)\, \mathrm d x $$ | 1 |
| 6957 | $$ \displaystyle\int x{\cdot}\left(x-1\right){\cdot}\left(x-3\right)\, \mathrm d x $$ | 1 |
| 6958 | $$ \displaystyle\int x{\cdot}\left(x+1\right){\cdot}\left(x-3\right)\, \mathrm d x $$ | 1 |
| 6959 | $$ \displaystyle\int^{8}_{0} 3{x}^{2}-30x+63\, \mathrm d x $$ | 1 |
| 6960 | $$ \displaystyle\int^{3}_{0} 3{x}^{2}-30x+63\, \mathrm d x $$ | 1 |
| 6961 | $$ \displaystyle\int^{7}_{3} 3{x}^{2}-30x+63\, \mathrm d x $$ | 1 |
| 6962 | $$ \displaystyle\int^{8}_{7} 3{x}^{2}-30x+63\, \mathrm d x $$ | 1 |
| 6963 | $$ \displaystyle\int^{1}_{0} 2{x}^{2}-16x+14\, \mathrm d x $$ | 1 |
| 6964 | $$ \displaystyle\int^{7}_{1} 2{x}^{2}-16x+14\, \mathrm d x $$ | 1 |
| 6965 | $$ \displaystyle\int^{8}_{7} 2{x}^{2}-16x+14\, \mathrm d x $$ | 1 |
| 6966 | $$ \displaystyle\int^{3}_{0} {x}^{3}-7{x}^{2}+12x\, \mathrm d x $$ | 1 |
| 6967 | $$ \displaystyle\int^{4}_{3} {x}^{3}-7{x}^{2}+12x\, \mathrm d x $$ | 1 |
| 6968 | $$ \displaystyle\int^{6}_{4} {x}^{3}-7{x}^{2}+12x\, \mathrm d x $$ | 1 |
| 6969 | $$ \displaystyle\int -{x}^{3}+9{x}^{2}-20x\, \mathrm d x $$ | 1 |
| 6970 | $$ \displaystyle\int -{x}^{3}+8{x}^{2}-15x\, \mathrm d x $$ | 1 |
| 6971 | $$ \displaystyle\int 8-4x\, \mathrm d x $$ | 1 |
| 6972 | $$ \displaystyle\int 7{\mathrm{e}}^{-t}\, \mathrm d x $$ | 1 |
| 6973 | $$ \displaystyle\int 7{\mathrm{e}}^{-x}\, \mathrm d x $$ | 1 |
| 6974 | $$ \displaystyle\int -7{\mathrm{e}}^{-x}\, \mathrm d x $$ | 1 |
| 6975 | $$ \displaystyle\int -0.07x\, \mathrm d x $$ | 1 |
| 6976 | $$ \displaystyle\int \dfrac{-7{t}^{2}}{200}+11\, \mathrm d x $$ | 1 |
| 6977 | $$ \displaystyle\int \dfrac{-7{x}^{2}}{200}+11\, \mathrm d x $$ | 1 |
| 6978 | $$ \displaystyle\int -0.05x\, \mathrm d x $$ | 1 |
| 6979 | $$ \displaystyle\int \dfrac{-{x}^{2}}{40}+8\, \mathrm d x $$ | 1 |
| 6980 | $$ \displaystyle\int^{10}_{0} 10-\dfrac{x}{5}\, \mathrm d x $$ | 1 |
| 6981 | $$ \displaystyle\int^{9}_{0} 50-\dfrac{x}{5}\, \mathrm d x $$ | 1 |
| 6982 | $$ \displaystyle\int^{15}_{0} 45{\cdot}\left(1+\sqrt{x}\right)\, \mathrm d x $$ | 1 |
| 6983 | $$ \displaystyle\int 45{\cdot}\left(1+\sqrt{x}\right)\, \mathrm d x $$ | 1 |
| 6984 | $$ \displaystyle\int^{7}_{6} 3{x}^{2}+4x+11\, \mathrm d x $$ | 1 |
| 6985 | $$ \displaystyle\int^{3}_{-1} 2x-{x}^{2}+3\, \mathrm d x $$ | 1 |
| 6986 | $$ \displaystyle\int^{1.386294361}_{0} {\mathrm{e}}^{x}-{\mathrm{e}}^{-4}{\cdot}x\, \mathrm d x $$ | 1 |
| 6987 | $$ \displaystyle\int^{1.609437912}_{-1.89e^-14} {\mathrm{e}}^{x}-{\mathrm{e}}^{-3x}\, \mathrm d x $$ | 1 |
| 6988 | $$ \displaystyle\int {\mathrm{e}}^{x}-{\mathrm{e}}^{-3x}\, \mathrm d x $$ | 1 |
| 6989 | $$ \displaystyle\int {\mathrm{e}}^{x}-{\mathrm{e}}^{-2x}\, \mathrm d x $$ | 1 |
| 6990 | $$ \displaystyle\int^{1}_{0} \dfrac{\ln\left(\dfrac{1+x}{2x}\right)}{1-{x}^{2}}\, \mathrm d x $$ | 1 |
| 6991 | $$ \displaystyle\int \dfrac{4}{{\left(x-6\right)}^{2}}\, \mathrm d x $$ | 1 |
| 6992 | $$ \displaystyle\int {\left(3{\cdot}\sin\left(x\right)+4\right)}^{2}-16\, \mathrm d x $$ | 1 |
| 6993 | $$ \displaystyle\int^{\pi}_{0} {\pi}{\cdot}{\left(4{\cdot}\sin\left(x\right)+4\right)}^{2}-{6}^{2}\, \mathrm d x $$ | 1 |
| 6994 | $$ \displaystyle\int^{\pi}_{0} {\pi}{\cdot}{\left(4{\cdot}\sin\left(x\right)+6\right)}^{2}-{6}^{2}\, \mathrm d x $$ | 1 |
| 6995 | $$ \displaystyle\int {\pi}{\cdot}{\left(4{\cdot}\sin\left(x\right)+6\right)}^{2}-{6}^{2}\, \mathrm d x $$ | 1 |
| 6996 | $$ \displaystyle\int {\left(4{\cdot}\sin\left(x\right)+6\right)}^{2}-{6}^{2}\, \mathrm d x $$ | 1 |
| 6997 | $$ \displaystyle\int \dfrac{1}{{x}^{3}{\cdot}\ln\left(x\right)}\, \mathrm d x $$ | 1 |
| 6998 | $$ \displaystyle\int \dfrac{1}{{x}^{3}{\cdot}{\left(\ln\left(x\right)\right)}^{2}}\, \mathrm d x $$ | 1 |
| 6999 | $$ \displaystyle\int^{0.5}_{0} \dfrac{1}{{x}^{3}{\cdot}{\left(\ln\left(x\right)\right)}^{8}}\, \mathrm d x $$ | 1 |
| 7000 | $$ $$ | 1 |
