Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 6951 | $$ \displaystyle\int \dfrac{1}{\left(2x+1\right){\cdot}\sqrt{{x}^{2}+1}}\, \mathrm d x $$ | 1 |
| 6952 | $$ \displaystyle\int \dfrac{1}{9{\cdot}{\left(\cos\left(x\right)\right)}^{2}-16{\cdot}{\left(\sin\left(x\right)\right)}^{2}}\, \mathrm d x $$ | 1 |
| 6953 | $$ \displaystyle\int \dfrac{2+2{\cdot}\cosh\left(x\right)-\sinh\left(x\right)}{2+2{\cdot}\cosh\left(x\right)+\sinh\left(x\right)}\, \mathrm d x $$ | 1 |
| 6954 | $$ \displaystyle\int \sin\left(3x\right)-\dfrac{1}{2}\, \mathrm d x $$ | 1 |
| 6955 | $$ \displaystyle\int^{5\pi/18}_{\pi/18} \sin\left(3x\right)-\dfrac{1}{2}\, \mathrm d x $$ | 1 |
| 6956 | $$ \displaystyle\int \dfrac{4}{x{\cdot}{\left(\ln\left(5x\right)\right)}^{7}}\, \mathrm d x $$ | 1 |
| 6957 | $$ $$ | 1 |
| 6958 | $$ $$ | 1 |
| 6959 | $$ $$ | 1 |
| 6960 | $$ $$ | 1 |
| 6961 | $$ $$ | 1 |
| 6962 | $$ $$ | 1 |
| 6963 | $$ $$ | 1 |
| 6964 | $$ $$ | 1 |
| 6965 | $$ $$ | 1 |
| 6966 | $$ $$ | 1 |
| 6967 | $$ $$ | 1 |
| 6968 | $$ $$ | 1 |
| 6969 | $$ $$ | 1 |
| 6970 | $$ \displaystyle\int \dfrac{1-4x+8{x}^{2}-8{x}^{3}}{{x}^{4}{\cdot}{\left(2{x}^{2}-2x+1\right)}^{2}}\, \mathrm d x $$ | 1 |
| 6971 | $$ \displaystyle\int x{\cdot}{\left(1+{x}^{2}\right)}^{\frac{1}{3}}\, \mathrm d x $$ | 1 |
| 6972 | $$ \displaystyle\int^{2\pi}_{\pi/2} x{\cdot}{\left(1+{x}^{2}\right)}^{\frac{1}{3}}\, \mathrm d x $$ | 1 |
| 6973 | $$ \displaystyle\int^{3}_{0} 15{\cdot}\left(3-x\right){\cdot}2{\pi}{\cdot}x\, \mathrm d x $$ | 1 |
| 6974 | $$ \displaystyle\int^{1}_{0} \dfrac{3{x}^{3}-{x}^{2}+2x-4}{s}{\cdot}qsq{\cdot}\sqrt{t}{\cdot}t{\cdot}\left({x}^{2}-3x+2\right)\, \mathrm d x $$ | 1 |
| 6975 | $$ \displaystyle\int \dfrac{{x}^{2}}{sq{\cdot}\sqrt{t}{\cdot}\left({x}^{2}-1\right)}\, \mathrm d x $$ | 1 |
| 6976 | $$ \displaystyle\int \dfrac{{x}^{2}}{\sqrt{{x}^{2}-1}}\, \mathrm d x $$ | 1 |
| 6977 | $$ \displaystyle\int \dfrac{{\left(\ln\left(x\right)\right)}^{0.5}}{x}\, \mathrm d x $$ | 1 |
| 6978 | $$ \displaystyle\int^{3}_{2} \dfrac{x}{\sqrt{{x}^{2}+x}}\, \mathrm d x $$ | 1 |
| 6979 | $$ $$ | 1 |
| 6980 | $$ $$ | 1 |
| 6981 | $$ $$ | 1 |
| 6982 | $$ \displaystyle\int^{3}_{2} \left(x+1\right){\cdot}\left(3x-5\right)\, \mathrm d x $$ | 1 |
| 6983 | $$ \displaystyle\int^{0}_{8} 13.201{\mathrm{e}}^{-0.003}\, \mathrm d x $$ | 1 |
| 6984 | $$ \displaystyle\int^{8}_{0} 13.201{\mathrm{e}}^{-0.003}\, \mathrm d x $$ | 1 |
| 6985 | $$ \displaystyle\int^{2\pi}_{0} 16{\cdot}\cos\left(x\right)-4{\cdot}{\left(\cos\left(x\right)\right)}^{2}{\cdot}\sin\left(x\right)\, \mathrm d x $$ | 1 |
| 6986 | $$ \displaystyle\int 16{\cdot}\cos\left(x\right)-4{\cdot}{\left(\cos\left(x\right)\right)}^{2}{\cdot}\sin\left(x\right)\, \mathrm d x $$ | 1 |
| 6987 | $$ \displaystyle\int^{2}_{0} \dfrac{3}{8}{\cdot}{x}^{3}\, \mathrm d x $$ | 1 |
| 6988 | $$ $$ | 1 |
| 6989 | $$ $$ | 1 |
| 6990 | $$ $$ | 1 |
| 6991 | $$ $$ | 1 |
| 6992 | $$ $$ | 1 |
| 6993 | $$ $$ | 1 |
| 6994 | $$ $$ | 1 |
| 6995 | $$ \displaystyle\int^{1}_{0} sq{\cdot}\sqrt{t}{\cdot}\left({x}^{2}-2x+1\right)\, \mathrm d x $$ | 1 |
| 6996 | $$ \displaystyle\int^{1}_{0} \sqrt{{x}^{2}-2x+1}\, \mathrm d x $$ | 1 |
| 6997 | $$ \displaystyle\int 14{\cdot}\sqrt{5}\, \mathrm d x $$ | 1 |
| 6998 | $$ \displaystyle\int 1-{x}^{2}\, \mathrm d x $$ | 1 |
| 6999 | $$ \displaystyle\int \dfrac{x}{\sin\left(x\right)}\, \mathrm d x $$ | 1 |
| 7000 | $$ \displaystyle\int^{10}_{5} \sqrt{x+\sqrt{20x-100}}+\sqrt{x-\sqrt{20x-100}}\, \mathrm d x $$ | 1 |
