Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 4251 | $$ \displaystyle\int 60{\cdot}\sqrt{x}{\cdot}{\left(\sin\left(\dfrac{x}{3}\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 4252 | $$ \displaystyle\int {\left(x+1\right)}^{2}\, \mathrm d x $$ | 1 |
| 4253 | $$ \displaystyle\int^{36}_{0} {\left(7-\sqrt{x}\right)}^{2}-{1}^{2}\, \mathrm d x $$ | 1 |
| 4254 | $$ \displaystyle\int^{8}_{0} {x}^{5}+\dfrac{1}{4}{\cdot}{x}^{4}+\dfrac{1}{3}{\cdot}{x}^{3}\, \mathrm d x $$ | 1 |
| 4255 | $$ \displaystyle\int^{3}_{0} \sqrt{x}+5{\cdot}\sqrt{x}+9{\cdot}\sqrt{x}\, \mathrm d x $$ | 1 |
| 4256 | $$ \displaystyle\int^{6}_{2} 5{\cdot}{\left(\sqrt{x}\right)}^{7}-4{\cdot}{\left(\sqrt{x}\right)}^{8}+3{\cdot}{\left(\sqrt{x}\right)}^{9}\, \mathrm d x $$ | 1 |
| 4257 | $$ \displaystyle\int^{7}_{3} \dfrac{1}{3{\cdot}\sqrt{3}{\cdot}{x}^{8}}-\dfrac{1}{7{\cdot}\sqrt{3}{\cdot}{x}^{5}}\, \mathrm d x $$ | 1 |
| 4258 | $$ \displaystyle\int^{8}_{4} {3.14}^{2}+\mathrm{e}-\sqrt{2}\, \mathrm d x $$ | 1 |
| 4259 | $$ \displaystyle\int^{8}_{4} {3.14}^{2}+\mathsqrtm{e}-\sqsqrtt{2}\, \mathsqrtm d x $$ | 1 |
| 4260 | $$ \displaystyle\int^{2e}_{e} 4{\cdot}{8}^{x}+{4}^{x}+{6}^{x}{\cdot}\ln\left(6\right)\, \mathrm d x $$ | 1 |
| 4261 | $$ \displaystyle\int \dfrac{10{x}^{4}}{\sqrt{2{x}^{5}+9}}\, \mathrm d x $$ | 1 |
| 4262 | $$ \displaystyle\int \dfrac{x}{1-x}\, \mathrm d x $$ | 1 |
| 4263 | $$ \displaystyle\int \dfrac{{\left(\ln\left(x\right)\right)}^{18}}{x}\, \mathrm d x $$ | 1 |
| 4264 | $$ \displaystyle\int \dfrac{\cos\left(x\right)}{{\left(\sin\left(x\right)\right)}^{6}}\, \mathrm d x $$ | 1 |
| 4265 | $$ \displaystyle\int \dfrac{\sin\left(2x\right)}{12+{\left(\cos\left(x\right)\right)}^{2}}\, \mathrm d x $$ | 1 |
| 4266 | $$ \displaystyle\int {x}^{3}{\cdot}\sqrt{{x}^{2}+4}\, \mathrm d x $$ | 1 |
| 4267 | $$ \displaystyle\int \dfrac{\cos\left(\ln\left(9x\right)\right)}{x}\, \mathrm d x $$ | 1 |
| 4268 | $$ \displaystyle\int 4{\cdot}\cos\left(\dfrac{{\pi}{\cdot}x}{2}\right)\, \mathrm d x $$ | 1 |
| 4269 | $$ \displaystyle\int^{1}_{0} 4{\cdot}\cos\left(\dfrac{{\pi}{\cdot}x}{2}\right)\, \mathrm d x $$ | 1 |
| 4270 | $$ \displaystyle\int^{6}_{1} \dfrac{\dfrac{{\mathrm{e}}^{1}}{x}}{{x}^{2}}\, \mathrm d x $$ | 1 |
| 4271 | $$ \displaystyle\int^{6}_{1} \dfrac{{\mathrm{e}}^{\frac{1}{x}}}{{x}^{2}}\, \mathrm d x $$ | 1 |
| 4272 | $$ \displaystyle\int^{50}_{0} 4.1591x-6.5519\, \mathrm d x $$ | 1 |
| 4273 | $$ \displaystyle\int^{1/5}_{0} \sqrt{1}+{{\pi}}^{2}{\cdot}{\left(\sec\left({\pi}{\cdot}x\right)\right)}^{4}\, \mathrm d x $$ | 1 |
| 4274 | $$ \displaystyle\int^{1/3}_{0} \sqsqrtt{1}+{{\pi}}^{2}{\cdot}{\left(\sec\left({\pi}{\cdot}x\sqrtight)\sqrtight)}^{4}\, \mathsqrtm d x $$ | 1 |
| 4275 | $$ \displaystyle\int \dfrac{1}{\left(1-x\right){\cdot}x}\, \mathrm d x $$ | 1 |
| 4276 | $$ \int {\left(\frac{{4}}{{3}}\pi{x}^{{3}}-\frac{{1}}{{3}}\pi\frac{{x}^{{1}}}{{3}}+{2}\pi{x}\right)} \, d\,x $$ | 1 |
| 4277 | $$ \int {\left(\frac{{4}}{{3}}\pi{x}^{{3}}-\frac{{1}}{{3}}\pi{x}^{{\frac{{1}}{{3}}}}+{2}\pi{x}\right)} \, d\,x $$ | 1 |
| 4278 | $$ \int {x}^{{2}}{x}{\sin{{\left({x}\right)}}} \, d\,x $$ | 1 |
| 4279 | $$ \displaystyle\int^{1}_{0} x{\cdot}{\left(1-x\right)}^{3}\, \mathrm d x $$ | 1 |
| 4280 | $$ \displaystyle\int^{1}_{0} \dfrac{{x}^{2}}{{\left(x-4\right)}^{2}}\, \mathrm d x $$ | 1 |
| 4281 | $$ \displaystyle\int {x}^{2}{\cdot}{\left(\sin\left(x\right)\right)}^{3}\, \mathrm d x $$ | 1 |
| 4282 | $$ $$ | 1 |
| 4283 | $$ $$ | 1 |
| 4284 | $$ $$ | 1 |
| 4285 | $$ $$ | 1 |
| 4286 | $$ $$ | 1 |
| 4287 | $$ \displaystyle\int^{\pi/2}_{0} {x}^{2}{\cdot}{\left(\sin\left(x\right)\right)}^{3}\, \mathrm d x $$ | 1 |
| 4288 | $$ \displaystyle\int^{2}_{1} {\mathrm{e}}^{x}\, \mathrm d x $$ | 1 |
| 4289 | $$ \displaystyle\int {\mathrm{e}}^{x}{\cdot}\cos\left({\mathrm{e}}^{x}\right)\, \mathrm d x $$ | 1 |
| 4290 | $$ \displaystyle\int \sin\left(3x+2\right)\, \mathrm d x $$ | 1 |
| 4291 | $$ \displaystyle\int \dfrac{5}{x}+2{\mathrm{e}}^{x}\, \mathrm d x $$ | 1 |
| 4292 | $$ \displaystyle\int 2{x}^{3}-17{x}^{2}+20x\, \mathrm d x $$ | 1 |
| 4293 | $$ \displaystyle\int^{\pi}_{0} \dfrac{{x}^{2}{\cdot}\sin\left(x\right){\cdot}\cos\left(\dfrac{{\pi}}{2}{\cdot}\cos\left(x\right)\right)}{2x-{\pi}}\, \mathrm d x $$ | 1 |
| 4294 | $$ \displaystyle\int^{\pi}_{0} \cos\left(\dfrac{{\pi}}{2}{\cdot}x\right)\, \mathrm d x $$ | 1 |
| 4295 | $$ \displaystyle\int {\left({\left(\sqrt{x}-5\right)}^{2}-x\right)}^{2}\, \mathrm d x $$ | 1 |
| 4296 | $$ \displaystyle\int \sqrt{6}+\sec\left(3x\right)\, \mathrm d x $$ | 1 |
| 4297 | $$ \displaystyle\int sq{\cdot}\sqrt{t}{\cdot}\left(6+\sec\left(3x\right)\right)\, \mathrm d x $$ | 1 |
| 4298 | $$ $$ | 1 |
| 4299 | $$ $$ | 1 |
| 4300 | $$ $$ | 1 |
