Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 6301 | $$ \displaystyle\int 2{x}^{4}+2{x}^{3}-7{x}^{2}+x-4\, \mathrm d x $$ | 1 |
| 6302 | $$ \displaystyle\int \dfrac{1}{{\left(\dfrac{1}{\cos\left(x\right)}\right)}^{2}}\, \mathrm d x $$ | 1 |
| 6303 | $$ \displaystyle\int^{5}_{0} \dfrac{2}{25}{\cdot}{x}^{2}\, \mathrm d x $$ | 1 |
| 6304 | $$ \displaystyle\int {\left(3+x\right)}^{-2}\, \mathrm d x $$ | 1 |
| 6305 | $$ \displaystyle\int -6{\cdot}{\left(3+x\right)}^{-1}\, \mathrm d x $$ | 1 |
| 6306 | $$ \displaystyle\int^{8}_{4} {{\pi}}^{2}+\mathrm{e}{\cdot}\sqrt{2}\, \mathrm d x $$ | 1 |
| 6307 | $$ \displaystyle\int^{2}_{1} 2{\pi}{\cdot}\left(\dfrac{1}{3}{\cdot}{x}^{3}+\dfrac{1}{4x}\right){\cdot}\sqrt{1+{\left({x}^{2}-\dfrac{1}{4}{\cdot}{x}^{-2}\right)}^{2}}\, \mathrm d x $$ | 1 |
| 6308 | $$ \displaystyle\int \dfrac{{x}^{2}{\cdot}\cos\left(x\right)}{1+{\mathrm{e}}^{x}}{\cdot}dx\, \mathrm d x $$ | 1 |
| 6309 | $$ \displaystyle\int {\left(\sin\left(x\right)\right)}^{2}{\cdot}\dfrac{1}{\cos\left(x\right)}{\cdot}\tan\left(x\right)\, \mathrm d x $$ | 1 |
| 6310 | $$ $$ | 1 |
| 6311 | $$ $$ | 1 |
| 6312 | $$ $$ | 1 |
| 6313 | $$ $$ | 1 |
| 6314 | $$ $$ | 1 |
| 6315 | $$ $$ | 1 |
| 6316 | $$ $$ | 1 |
| 6317 | $$ $$ | 1 |
| 6318 | $$ \displaystyle\int^{1}_{0} \ln\left(x+1\right)\, \mathrm d x $$ | 1 |
| 6319 | $$ \displaystyle\int \ln\left(x+1\right){\cdot}\cos\left(x\right)\, \mathrm d x $$ | 1 |
| 6320 | $$ \displaystyle\int \ln\left(x+1\right){\cdot}\sin\left(x\right)\, \mathrm d x $$ | 1 |
| 6321 | $$ \displaystyle\int \ln\left(x+1\right){\cdot}\sin\left(2x\right)\, \mathrm d x $$ | 1 |
| 6322 | $$ \displaystyle\int \ln\left(x+1\right){\cdot}\cos\left(2x\right)\, \mathrm d x $$ | 1 |
| 6323 | $$ $$ | 1 |
| 6324 | $$ \displaystyle\int \sin\left(\color{orangered}{\square}\right)\, \mathrm d x $$ | 1 |
| 6325 | $$ $$ | 1 |
| 6326 | $$ $$ | 1 |
| 6327 | $$ $$ | 1 |
| 6328 | $$ $$ | 1 |
| 6329 | $$ $$ | 1 |
| 6330 | $$ $$ | 1 |
| 6331 | $$ $$ | 1 |
| 6332 | $$ $$ | 1 |
| 6333 | $$ $$ | 1 |
| 6334 | $$ $$ | 1 |
| 6335 | $$ $$ | 1 |
| 6336 | $$ $$ | 1 |
| 6337 | $$ $$ | 1 |
| 6338 | $$ $$ | 1 |
| 6339 | $$ $$ | 1 |
| 6340 | $$ $$ | 1 |
| 6341 | $$ $$ | 1 |
| 6342 | $$ $$ | 1 |
| 6343 | $$ $$ | 1 |
| 6344 | $$ $$ | 1 |
| 6345 | $$ $$ | 1 |
| 6346 | $$ $$ | 1 |
| 6347 | $$ $$ | 1 |
| 6348 | $$ $$ | 1 |
| 6349 | $$ $$ | 1 |
| 6350 | $$ $$ | 1 |
