Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 5901 | $$ \displaystyle\int^{2}_{2} \sin\left(2\right)\, \mathrm d x $$ | 1 |
| 5902 | $$ \displaystyle\int \dfrac{4{x}^{2}}{\sqrt{{x}^{3}+8}}\, \mathrm d x $$ | 1 |
| 5903 | $$ \displaystyle\int \dfrac{1}{4{x}^{2}+25}\, \mathrm d x $$ | 1 |
| 5904 | $$ \displaystyle\int 8\, \mathrm d x $$ | 1 |
| 5905 | $$ \displaystyle\int^{\infty}_{0} \dfrac{{\mathrm{e}}^{-\left(x+\frac{1}{16}{\cdot}x\right)}}{\sqrt{x}}\, \mathrm d x $$ | 1 |
| 5906 | $$ \displaystyle\int^{\infty}_{0} \dfrac{{\mathrm{e}}^{-\left(x+\frac{1}{16}{\cdot}x\right)}}{\sqrt{x}}\, \mathrm d x $$ | 1 |
| 5907 | $$ \displaystyle\int \dfrac{2}{x}\, \mathrm d x $$ | 1 |
| 5908 | $$ \displaystyle\int \dfrac{1}{{\left(36-{x}^{2}\right)}^{\frac{3}{2}}}\, \mathrm d x $$ | 1 |
| 5909 | $$ $$ | 1 |
| 5910 | $$ $$ | 1 |
| 5911 | $$ $$ | 1 |
| 5912 | $$ $$ | 1 |
| 5913 | $$ $$ | 1 |
| 5914 | $$ $$ | 1 |
| 5915 | $$ \displaystyle\int^{\pi/2}_{0} \cos\left(\color{orangered}{\square}\right)\, \mathrm d x $$ | 1 |
| 5916 | $$ \displaystyle\int^{\pi/2}_{0} {\left(\cos\left(3x\right)\right)}^{6}\, \mathrm d x $$ | 1 |
| 5917 | $$ \displaystyle\int^{\pi/6}_{0} {\left(\cos\left(3x\right)\right)}^{6}\, \mathrm d x $$ | 1 |
| 5918 | $$ \displaystyle\int {x}^{2}{\cdot}\sqrt{{r}^{2}-{x}^{2}}\, \mathrm d x $$ | 1 |
| 5919 | $$ \displaystyle\int^{5}_{3} x{\cdot}\sqrt{1-{\left(x-4\right)}^{2}}\, \mathrm d x $$ | 1 |
| 5920 | $$ \displaystyle\int^{4}_{1} 4+\dfrac{6x}{\sqrt{x}}\, \mathrm d x $$ | 1 |
| 5921 | $$ \displaystyle\int \sin\left(8x\right){\cdot}\sin\left(5x\right)\, \mathrm d x $$ | 1 |
| 5922 | $$ \displaystyle\int 5{x}^{4}{\cdot}{\mathrm{e}}^{{x}^{5}}\, \mathrm d x $$ | 1 |
| 5923 | $$ \displaystyle\int 1-\cos\left(4\right){\cdot}x\, \mathrm d x $$ | 1 |
| 5924 | $$ \displaystyle\int 2x+2\, \mathrm d x $$ | 1 |
| 5925 | $$ \displaystyle\int x{\cdot}{\mathrm{e}}^{-{x}^{2}}\, \mathrm d x $$ | 1 |
| 5926 | $$ \displaystyle\int 2x{\cdot}{\mathrm{e}}^{\frac{-1}{2}{\cdot}{x}^{2}}\, \mathrm d x $$ | 1 |
| 5927 | $$ \displaystyle\int \dfrac{{3}^{x}}{\ln\left(3\right)}\, \mathrm d x $$ | 1 |
| 5928 | $$ \displaystyle\int \dfrac{4}{x{\cdot}\sqrt{{x}^{2}-9}}\, \mathrm d x $$ | 1 |
| 5929 | $$ \displaystyle\int -5x+10\, \mathrm d x $$ | 1 |
| 5930 | $$ \displaystyle\int^{2}_{0} {x}^{2}+3x-1\, \mathrm d x $$ | 1 |
| 5931 | $$ \displaystyle\int 325{\cdot}\sin\left(x\right)\, \mathrm d x $$ | 1 |
| 5932 | $$ \displaystyle\int \sin\left(\color{orangered}{\square}\right)\, \mathrm d x $$ | 1 |
| 5933 | $$ \displaystyle\int^{3}_{2} x+1\, \mathrm d x $$ | 1 |
| 5934 | $$ \displaystyle\int \tan\left(13\right){\cdot}x\, \mathrm d x $$ | 1 |
| 5935 | $$ \displaystyle\int \dfrac{15}{2x+3}\, \mathrm d x $$ | 1 |
| 5936 | $$ \displaystyle\int^{\pi/2}_{\pi/6} 2{\cdot}\sin\left(x\right)\, \mathrm d x $$ | 1 |
| 5937 | $$ \displaystyle\int \left({x}^{\frac{1}{2}}-1\right){\cdot}\left({x}^{2}+2\right)\, \mathrm d x $$ | 1 |
| 5938 | $$ \displaystyle\int \dfrac{1}{{x}^{2}-1}\, \mathrm d x $$ | 1 |
| 5939 | $$ \displaystyle\int \dfrac{1}{{\left({x}^{2}-1\right)}^{\frac{1}{3}}}\, \mathrm d x $$ | 1 |
| 5940 | $$ \displaystyle\int \dfrac{1}{{\left({x}^{1.5}+1\right)}^{\frac{1}{2}}}\, \mathrm d x $$ | 1 |
| 5941 | $$ \displaystyle\int^{e}_{1} \mathrm{e}{\cdot}\ln\left(x\right)\, \mathrm d x $$ | 1 |
| 5942 | $$ \displaystyle\int^{4}_{2} 6x{\cdot}{\mathrm{e}}^{4}{\cdot}x\, \mathrm d x $$ | 1 |
| 5943 | $$ \displaystyle\int \dfrac{1}{{\left({x}^{\frac{3}{2}}-1\right)}^{\frac{1}{2}}}\, \mathrm d x $$ | 1 |
| 5944 | $$ \displaystyle\int \sec\left(x\right){\cdot}{\left(\tan\left(x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 5945 | $$ $$ | 1 |
| 5946 | $$ $$ | 1 |
| 5947 | $$ $$ | 1 |
| 5948 | $$ $$ | 1 |
| 5949 | $$ $$ | 1 |
| 5950 | $$ $$ | 1 |
