Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 2951 | $$ \displaystyle\int {\left(\sin\left(7x\right)\right)}^{5}-3{x}^{{\mathrm{e}}^{x}}\, \mathrm d x $$ | 1 |
| 2952 | $$ \displaystyle\int {\left(\sin\left(7x\right)\right)}^{7}-7{\mathrm{e}}^{x}\, \mathrm d x $$ | 1 |
| 2953 | $$ \displaystyle\int {\mathrm{e}}^{{\left(\sin\left(x\right)\right)}^{x}}\, \mathrm d x $$ | 1 |
| 2954 | $$ \displaystyle\int^{6}_{1} {\mathrm{e}}^{{\left(\sin\left(x\right)\right)}^{x}}\, \mathrm d x $$ | 1 |
| 2955 | $$ \displaystyle\int {\mathrm{e}}^{{x}^{\sin\left(x\right)}}\, \mathrm d x $$ | 1 |
| 2956 | $$ \displaystyle\int \tan\left(54\right)\, \mathrm d x $$ | 1 |
| 2957 | $$ \displaystyle\int \dfrac{{4000}^{3}}{1500}-3{\cdot}\left(\dfrac{{4000}^{2}}{200}+150\right)\, \mathrm d x $$ | 1 |
| 2958 | $$ \displaystyle\int \dfrac{{4000}^{3}}{1500}-3{\cdot}\dfrac{{4000}^{2}}{200}+150\, \mathrm d x $$ | 1 |
| 2959 | $$ \displaystyle\int^{2000}_{4000} \dfrac{{4000}^{3}}{1500}-3{\cdot}\dfrac{{4000}^{2}}{200}+150{\cdot}4000\, \mathrm d x $$ | 1 |
| 2960 | $$ \displaystyle\int \dfrac{-54}{5{\cdot}\sqrt{1-{\left(9x\right)}^{2}}}\, \mathrm d x $$ | 1 |
| 2961 | $$ \displaystyle\int^{2}_{1} \dfrac{-3}{{x}^{2}{\cdot}{\mathrm{e}}^{\frac{2}{x}}}\, \mathrm d x $$ | 1 |
| 2962 | $$ \displaystyle\int^{11\pi/6}_{7\pi/6} \dfrac{1}{2}{\cdot}{\left(4+8{\cdot}\sin\left(x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 2963 | $$ \displaystyle\int \dfrac{1}{{\left({x}^{2}-1\right)}^{\frac{3}{2}}}\, \mathrm d x $$ | 1 |
| 2964 | $$ \displaystyle\int^{8}_{2} \dfrac{1}{{\left({x}^{2}-1\right)}^{\frac{3}{2}}}\, \mathrm d x $$ | 1 |
| 2965 | $$ \displaystyle\int \dfrac{1}{25+{x}^{2}}\, \mathrm d x $$ | 1 |
| 2966 | $$ \displaystyle\int^{5}_{0} \dfrac{1}{{\left(25+{x}^{2}\right)}^{\frac{1}{2}}}\, \mathrm d x $$ | 1 |
| 2967 | $$ \displaystyle\int \dfrac{1}{{\left({x}^{2}-1\right)}^{2}}\, \mathrm d x $$ | 1 |
| 2968 | $$ $$ | 1 |
| 2969 | $$ $$ | 1 |
| 2970 | $$ $$ | 1 |
| 2971 | $$ \displaystyle\int 0-1-2-3-4-5-6-7-8-9\, \mathrm d x $$ | 1 |
| 2972 | $$ \displaystyle\int^{9}_{1} 0-1-2-3-4-5-6-7-8-9\, \mathrm d x $$ | 1 |
| 2973 | $$ \displaystyle\int^{5}_{0} \sqrt{x+4}\, \mathrm d x $$ | 1 |
| 2974 | $$ \displaystyle\int \dfrac{4x+7}{{\left({x}^{2}-2x+3\right)}^{2}}\, \mathrm d x $$ | 1 |
| 2975 | $$ \displaystyle\int {\left(\ln\left(x\right)\right)}^{n}\, \mathrm d x $$ | 1 |
| 2976 | $$ \displaystyle\int \sec\left(2x\right){\cdot}\tan\left(2x\right)\, \mathrm d x $$ | 1 |
| 2977 | $$ \displaystyle\int \sqrt{1+2x}\, \mathrm d x $$ | 1 |
| 2978 | $$ \displaystyle\int sq{\cdot}\sqrt{t}{\cdot}\left(1+2x\right){\cdot}x\, \mathrm d x $$ | 1 |
| 2979 | $$ \displaystyle\int \sqrt{1+2x}{\cdot}x\, \mathrm d x $$ | 1 |
| 2980 | $$ \displaystyle\int \dfrac{1}{1+{\mathrm{e}}^{-x}}\, \mathrm d x $$ | 1 |
| 2981 | $$ \displaystyle\int \dfrac{1}{{\left(\sin\left(x\right)\right)}^{7}}\, \mathrm d x $$ | 1 |
| 2982 | $$ \displaystyle\int^{9}_{2} 4{x}^{2}+7{x}^{3}+{x}^{\frac{-1}{2}}\, \mathrm d x $$ | 1 |
| 2983 | $$ \int^{78}_{cos()} {)}-{\sin{{\left({\sin{{\left({\sin{{\left({\sin{{\left({\sin{{\left({\sin{{\left({\sin{{\left(\sqrt{{\sqrt}}\right)}}}\right)}}}\right)}}}\right)}}}\right)}}}\right)}}}\right.}}} \, d\,x $$ | 1 |
| 2984 | $$ \displaystyle\int \dfrac{3{\cdot}\sin\left(x\right)}{\cos\left(x\right)}\, \mathrm d x $$ | 1 |
| 2985 | $$ \displaystyle\int^{4}_{0} \sqrt{1+{\left(3{x}^{2}-5\right)}^{2}}\, \mathrm d x $$ | 1 |
| 2986 | $$ \displaystyle\int \mathrm{arcsec}\left(x\right)\, \mathrm d x $$ | 1 |
| 2987 | $$ \displaystyle\int \dfrac{x{\cdot}{\left(\tan\left(x\right)\right)}^{-1}}{{\left(1+{x}^{2}\right)}^{3}}\, \mathrm d x $$ | 1 |
| 2988 | $$ \displaystyle\int \dfrac{{\mathrm{e}}^{2x}-{\mathrm{e}}^{-2x}}{{\mathrm{e}}^{2x}+{\mathrm{e}}^{-2x}}\, \mathrm d x $$ | 1 |
| 2989 | $$ \displaystyle\int {x}^{-2}{\cdot}\cos\left({x}^{-1}\right)\, \mathrm d x $$ | 1 |
| 2990 | $$ \displaystyle\int x{\cdot}{\left(x+3\right)}^{3}\, \mathrm d x $$ | 1 |
| 2991 | $$ \displaystyle\int \dfrac{\tan\left(x\right)}{\tan\left(x\right)+1}\, \mathrm d x $$ | 1 |
| 2992 | $$ $$ | 1 |
| 2993 | $$ $$ | 1 |
| 2994 | $$ $$ | 1 |
| 2995 | $$ $$ | 1 |
| 2996 | $$ $$ | 1 |
| 2997 | $$ $$ | 1 |
| 2998 | $$ $$ | 1 |
| 2999 | $$ \displaystyle\int \sin\left(x\right){\cdot}\left(\cot\left(x\right)+\dfrac{1}{\sin\left(3\right)}{\cdot}x\right)\, \mathrm d x $$ | 1 |
| 3000 | $$ $$ | 1 |
