Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 2951 | $$ $$ | 1 |
| 2952 | $$ $$ | 1 |
| 2953 | $$ $$ | 1 |
| 2954 | $$ $$ | 1 |
| 2955 | $$ $$ | 1 |
| 2956 | $$ $$ | 1 |
| 2957 | $$ $$ | 1 |
| 2958 | $$ \displaystyle\int \dfrac{6{x}^{4}-7{x}^{3}+{x}^{2}+2x}{3x-5}\, \mathrm d x $$ | 1 |
| 2959 | $$ \displaystyle\int^{1}_{0} \dfrac{6{x}^{4}-7{x}^{3}+{x}^{2}+2x}{3x-5}\, \mathrm d x $$ | 1 |
| 2960 | $$ \displaystyle\int \dfrac{6{x}^{4}-7{x}^{3}+{x}^{2}+2x}{3x-5}\, \mathrm d x $$ | 1 |
| 2961 | $$ \displaystyle\int^{80}_{0} \sqrt{1+\dfrac{{\left(x-50\right)}^{2}}{400}}\, \mathrm d x $$ | 1 |
| 2962 | $$ \displaystyle\int^{6}_{0} \sqrt{1+(2x{\cdot}\sqrt{{x}^{2}+1})}\, \mathrm d x $$ | 1 |
| 2963 | $$ $$ | 1 |
| 2964 | $$ $$ | 1 |
| 2965 | $$ $$ | 1 |
| 2966 | $$ $$ | 1 |
| 2967 | $$ $$ | 1 |
| 2968 | $$ $$ | 1 |
| 2969 | $$ $$ | 1 |
| 2970 | $$ \displaystyle\int sq{\cdot}\sqrt{x{\cdot}\left(c-x\right)}\, \mathrm d x $$ | 1 |
| 2971 | $$ \displaystyle\int {4}^{2}-\left(4-{\left(sq{\cdot}\sqrt{t}{\cdot}\left(1-x\right)\right)}^{2}\right)\, \mathrm d x $$ | 1 |
| 2972 | $$ \displaystyle\int^{4}_{0} \left({t}^{1.8}+4t\right){\cdot}\sin\left(3t\right)\, \mathrm d x $$ | 1 |
| 2973 | $$ \displaystyle\int \dfrac{sq{\cdot}\sqrt{t}{\cdot}x}{4+{x}^{3}}\, \mathrm d x $$ | 1 |
| 2974 | $$ \displaystyle\int {\left(\sin\left(7x\right)\right)}^{5}-3{x}^{{\mathrm{e}}^{x}}\, \mathrm d x $$ | 1 |
| 2975 | $$ \displaystyle\int {\left(\sin\left(7x\right)\right)}^{7}-7{\mathrm{e}}^{x}\, \mathrm d x $$ | 1 |
| 2976 | $$ \displaystyle\int {\mathrm{e}}^{{\left(\sin\left(x\right)\right)}^{x}}\, \mathrm d x $$ | 1 |
| 2977 | $$ \displaystyle\int^{6}_{1} {\mathrm{e}}^{{\left(\sin\left(x\right)\right)}^{x}}\, \mathrm d x $$ | 1 |
| 2978 | $$ \displaystyle\int {\mathrm{e}}^{{x}^{\sin\left(x\right)}}\, \mathrm d x $$ | 1 |
| 2979 | $$ \displaystyle\int \tan\left(54\right)\, \mathrm d x $$ | 1 |
| 2980 | $$ \displaystyle\int \dfrac{{4000}^{3}}{1500}-3{\cdot}\left(\dfrac{{4000}^{2}}{200}+150\right)\, \mathrm d x $$ | 1 |
| 2981 | $$ \displaystyle\int \dfrac{{4000}^{3}}{1500}-3{\cdot}\dfrac{{4000}^{2}}{200}+150\, \mathrm d x $$ | 1 |
| 2982 | $$ \displaystyle\int^{2000}_{4000} \dfrac{{4000}^{3}}{1500}-3{\cdot}\dfrac{{4000}^{2}}{200}+150{\cdot}4000\, \mathrm d x $$ | 1 |
| 2983 | $$ \displaystyle\int \dfrac{-54}{5{\cdot}\sqrt{1-{\left(9x\right)}^{2}}}\, \mathrm d x $$ | 1 |
| 2984 | $$ \displaystyle\int^{2}_{1} \dfrac{-3}{{x}^{2}{\cdot}{\mathrm{e}}^{\frac{2}{x}}}\, \mathrm d x $$ | 1 |
| 2985 | $$ \displaystyle\int^{11\pi/6}_{7\pi/6} \dfrac{1}{2}{\cdot}{\left(4+8{\cdot}\sin\left(x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 2986 | $$ \displaystyle\int \dfrac{1}{{\left({x}^{2}-1\right)}^{\frac{3}{2}}}\, \mathrm d x $$ | 1 |
| 2987 | $$ \displaystyle\int^{8}_{2} \dfrac{1}{{\left({x}^{2}-1\right)}^{\frac{3}{2}}}\, \mathrm d x $$ | 1 |
| 2988 | $$ \displaystyle\int \dfrac{1}{25+{x}^{2}}\, \mathrm d x $$ | 1 |
| 2989 | $$ \displaystyle\int^{5}_{0} \dfrac{1}{{\left(25+{x}^{2}\right)}^{\frac{1}{2}}}\, \mathrm d x $$ | 1 |
| 2990 | $$ \displaystyle\int \dfrac{1}{{\left({x}^{2}-1\right)}^{2}}\, \mathrm d x $$ | 1 |
| 2991 | $$ $$ | 1 |
| 2992 | $$ $$ | 1 |
| 2993 | $$ $$ | 1 |
| 2994 | $$ \displaystyle\int 0-1-2-3-4-5-6-7-8-9\, \mathrm d x $$ | 1 |
| 2995 | $$ \displaystyle\int^{9}_{1} 0-1-2-3-4-5-6-7-8-9\, \mathrm d x $$ | 1 |
| 2996 | $$ \displaystyle\int^{5}_{0} \sqrt{x+4}\, \mathrm d x $$ | 1 |
| 2997 | $$ \displaystyle\int \dfrac{4x+7}{{\left({x}^{2}-2x+3\right)}^{2}}\, \mathrm d x $$ | 1 |
| 2998 | $$ \displaystyle\int {\left(\ln\left(x\right)\right)}^{n}\, \mathrm d x $$ | 1 |
| 2999 | $$ \displaystyle\int \sec\left(2x\right){\cdot}\tan\left(2x\right)\, \mathrm d x $$ | 1 |
| 3000 | $$ \displaystyle\int \sqrt{1+2x}\, \mathrm d x $$ | 1 |
