Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 6201 | $$ $$ | 1 |
| 6202 | $$ $$ | 1 |
| 6203 | $$ \displaystyle\int {\mathrm{e}}^{2x}+\dfrac{1}{x}\, \mathrm d x $$ | 1 |
| 6204 | $$ \displaystyle\int^{2}_{1} \left(3{x}^{2}+2\right){\cdot}{\left(5{x}^{3}+10x\right)}^{4}\, \mathrm d x $$ | 1 |
| 6205 | $$ \displaystyle\int \left(3{x}^{2}+2\right){\cdot}{\left(5{x}^{3}+10x\right)}^{4}\, \mathrm d x $$ | 1 |
| 6206 | $$ \displaystyle\int 2{\cdot}\cos\left(x\right){\cdot}x{\cdot}\cos\left(3\right){\cdot}x\, \mathrm d x $$ | 1 |
| 6207 | $$ \displaystyle\int \dfrac{1}{{{\pi}}^{2}}{\cdot}\ln\left({x}^{2}\right){\cdot}{\left({x}^{2}-1\right)}^{-1}\, \mathrm d x $$ | 1 |
| 6208 | $$ \displaystyle\int^{1}_{0} \dfrac{1}{2{\cdot}\sqrt{3}-(x{\cdot}\sqrt{x+1})}\, \mathrm d x $$ | 1 |
| 6209 | $$ \displaystyle\int 2{{\pi}}^{-2}{\cdot}\ln\left(x\right){\cdot}{\left(\left(1+x\right){\cdot}\left(1-x\right)\right)}^{-1}\, \mathrm d x $$ | 1 |
| 6210 | $$ \displaystyle\int \sqrt{x}{\cdot}\sqrt{1-x}\, \mathrm d x $$ | 1 |
| 6211 | $$ \displaystyle\int {\mathrm{e}}^{4x}{\cdot}\sqrt{1+{\mathrm{e}}^{2x}}\, \mathrm d x $$ | 1 |
| 6212 | $$ \displaystyle\int \dfrac{{\mathrm{e}}^{\frac{-1}{{x}^{2}}-(\frac{1}{1+{x}^{2}})-\frac{1}{{x}^{2}}}}{1+{x}^{2}}\, \mathrm d x $$ | 1 |
| 6213 | $$ \displaystyle\int \dfrac{\sqrt{1+{x}^{2}}}{{x}^{2}}\, \mathrm d x $$ | 1 |
| 6214 | $$ \displaystyle\int {\left(\sqrt{x}\right)}^{7}+1\, \mathrm d x $$ | 1 |
| 6215 | $$ \displaystyle\int x{\cdot}\left(\sqrt{x}-1\right)\, \mathrm d x $$ | 1 |
| 6216 | $$ \displaystyle\int x{\cdot}{\left(x-1\right)}^{0.5}\, \mathrm d x $$ | 1 |
| 6217 | $$ \displaystyle\int x{\cdot}\sqrt{x-1}\, \mathrm d x $$ | 1 |
| 6218 | $$ \displaystyle\int^{0}_{2} \sqrt{1+\sin\left(\dfrac{x}{2}\right)}\, \mathrm d x $$ | 1 |
| 6219 | $$ \displaystyle\int^{4}_{2} \dfrac{1}{x}\, \mathrm d x $$ | 1 |
| 6220 | $$ \displaystyle\int^{0}_{\pi/4} \sin\left(\color{orangered}{\square}\right)\, \mathrm d x $$ | 1 |
| 6221 | $$ $$ | 1 |
| 6222 | $$ $$ | 1 |
| 6223 | $$ $$ | 1 |
| 6224 | $$ $$ | 1 |
| 6225 | $$ $$ | 1 |
| 6226 | $$ $$ | 1 |
| 6227 | $$ $$ | 1 |
| 6228 | $$ $$ | 1 |
| 6229 | $$ $$ | 1 |
| 6230 | $$ $$ | 1 |
| 6231 | $$ $$ | 1 |
| 6232 | $$ $$ | 1 |
| 6233 | $$ $$ | 1 |
| 6234 | $$ $$ | 1 |
| 6235 | $$ $$ | 1 |
| 6236 | $$ $$ | 1 |
| 6237 | $$ $$ | 1 |
| 6238 | $$ $$ | 1 |
| 6239 | $$ $$ | 1 |
| 6240 | $$ $$ | 1 |
| 6241 | $$ $$ | 1 |
| 6242 | $$ $$ | 1 |
| 6243 | $$ \displaystyle\int \ln\left(3x\right)\, \mathrm d x $$ | 1 |
| 6244 | $$ \displaystyle\int \dfrac{{x}^{3}}{{\left(x-1\right)}^{4}}\, \mathrm d x $$ | 1 |
| 6245 | $$ \displaystyle\int^{\infty}_{0} x{\cdot}{\mathrm{e}}^{-x}\, \mathrm d x $$ | 1 |
| 6246 | $$ \displaystyle\int^{40}_{0} 3.39{\cdot}\cos\left(0.25x+2.28\right)+8.17\, \mathrm d x $$ | 1 |
| 6247 | $$ \int {30}\pi+{30}{x}^{{30}}{x}-{30}\pi \, d\,x $$ | 1 |
| 6248 | $$ \displaystyle\int \sin\left({x}^{2}\right)\, \mathrm d x $$ | 1 |
| 6249 | $$ \displaystyle\int^{4}_{0} \sqrt{-1+{\left(-2x+4\right)}^{2}}\, \mathrm d x $$ | 1 |
| 6250 | $$ \displaystyle\int^{4}_{0} \sqrt{1+{\left(-2x+4\right)}^{2}}\, \mathrm d x $$ | 1 |
