Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 7351 | $$ $$ | 1 |
| 7352 | $$ $$ | 1 |
| 7353 | $$ $$ | 1 |
| 7354 | $$ $$ | 1 |
| 7355 | $$ $$ | 1 |
| 7356 | $$ $$ | 1 |
| 7357 | $$ $$ | 1 |
| 7358 | $$ $$ | 1 |
| 7359 | $$ $$ | 1 |
| 7360 | $$ $$ | 1 |
| 7361 | $$ $$ | 1 |
| 7362 | $$ $$ | 1 |
| 7363 | $$ $$ | 1 |
| 7364 | $$ $$ | 1 |
| 7365 | $$ $$ | 1 |
| 7366 | $$ $$ | 1 |
| 7367 | $$ $$ | 1 |
| 7368 | $$ $$ | 1 |
| 7369 | $$ $$ | 1 |
| 7370 | $$ $$ | 1 |
| 7371 | $$ \displaystyle\int {\mathrm{e}}^{\frac{-1}{2}{\cdot}{x}^{2}}\, \mathrm d x $$ | 1 |
| 7372 | $$ \displaystyle\int \dfrac{x+2}{{x}^{2}+x+1}\, \mathrm d x $$ | 1 |
| 7373 | $$ \displaystyle\int 2{x}^{4}+2{x}^{3}-7{x}^{2}+x-4\, \mathrm d x $$ | 1 |
| 7374 | $$ \displaystyle\int \dfrac{1}{{\left(\dfrac{1}{\cos\left(x\right)}\right)}^{2}}\, \mathrm d x $$ | 1 |
| 7375 | $$ \displaystyle\int^{5}_{0} \dfrac{2}{25}{\cdot}{x}^{2}\, \mathrm d x $$ | 1 |
| 7376 | $$ \displaystyle\int {\left(3+x\right)}^{-2}\, \mathrm d x $$ | 1 |
| 7377 | $$ \displaystyle\int -6{\cdot}{\left(3+x\right)}^{-1}\, \mathrm d x $$ | 1 |
| 7378 | $$ \displaystyle\int^{8}_{4} {{\pi}}^{2}+\mathrm{e}{\cdot}\sqrt{2}\, \mathrm d x $$ | 1 |
| 7379 | $$ \displaystyle\int^{2}_{1} 2{\pi}{\cdot}\left(\dfrac{1}{3}{\cdot}{x}^{3}+\dfrac{1}{4x}\right){\cdot}\sqrt{1+{\left({x}^{2}-\dfrac{1}{4}{\cdot}{x}^{-2}\right)}^{2}}\, \mathrm d x $$ | 1 |
| 7380 | $$ \displaystyle\int \dfrac{{x}^{2}{\cdot}\cos\left(x\right)}{1+{\mathrm{e}}^{x}}{\cdot}dx\, \mathrm d x $$ | 1 |
| 7381 | $$ \displaystyle\int {\left(\sin\left(x\right)\right)}^{2}{\cdot}\dfrac{1}{\cos\left(x\right)}{\cdot}\tan\left(x\right)\, \mathrm d x $$ | 1 |
| 7382 | $$ $$ | 1 |
| 7383 | $$ $$ | 1 |
| 7384 | $$ $$ | 1 |
| 7385 | $$ $$ | 1 |
| 7386 | $$ $$ | 1 |
| 7387 | $$ $$ | 1 |
| 7388 | $$ $$ | 1 |
| 7389 | $$ $$ | 1 |
| 7390 | $$ \displaystyle\int^{1}_{0} \ln\left(x+1\right)\, \mathrm d x $$ | 1 |
| 7391 | $$ \displaystyle\int \ln\left(x+1\right){\cdot}\cos\left(x\right)\, \mathrm d x $$ | 1 |
| 7392 | $$ \displaystyle\int \ln\left(x+1\right){\cdot}\sin\left(x\right)\, \mathrm d x $$ | 1 |
| 7393 | $$ \displaystyle\int \ln\left(x+1\right){\cdot}\sin\left(2x\right)\, \mathrm d x $$ | 1 |
| 7394 | $$ \displaystyle\int \ln\left(x+1\right){\cdot}\cos\left(2x\right)\, \mathrm d x $$ | 1 |
| 7395 | $$ $$ | 1 |
| 7396 | $$ \displaystyle\int \sin\left(\color{orangered}{\square}\right)\, \mathrm d x $$ | 1 |
| 7397 | $$ $$ | 1 |
| 7398 | $$ $$ | 1 |
| 7399 | $$ $$ | 1 |
| 7400 | $$ $$ | 1 |
