Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 6401 | $$ \displaystyle\int^{\infty}_{0} 1000{\mathrm{e}}^{-200x}{\cdot}\left(1-\cos\left(400\right){\cdot}x\right)\, \mathrm d x $$ | 1 |
| 6402 | $$ \displaystyle\int \ln\left(\dfrac{-1}{6}\right)-x\, \mathrm d x $$ | 1 |
| 6403 | $$ \displaystyle\int \ln\left(\dfrac{-1}{6}\right)\, \mathrm d x $$ | 1 |
| 6404 | $$ $$ | 1 |
| 6405 | $$ $$ | 1 |
| 6406 | $$ $$ | 1 |
| 6407 | $$ \displaystyle\int^{1}_{-2} 2-{x}^{2}-x\, \mathrm d x $$ | 1 |
| 6408 | $$ $$ | 1 |
| 6409 | $$ $$ | 1 |
| 6410 | $$ $$ | 1 |
| 6411 | $$ $$ | 1 |
| 6412 | $$ \displaystyle\int^{1}_{-2} 12-9{x}^{2}-4x+{x}^{4}\, \mathrm d x $$ | 1 |
| 6413 | $$ $$ | 1 |
| 6414 | $$ $$ | 1 |
| 6415 | $$ $$ | 1 |
| 6416 | $$ $$ | 1 |
| 6417 | $$ \displaystyle\int^{3}_{0} \ln\left(3-x\right)\, \mathrm d x $$ | 1 |
| 6418 | $$ \displaystyle\int^{4}_{0} \ln\left(3-x\right)\, \mathrm d x $$ | 1 |
| 6419 | $$ \displaystyle\int^{1}_{0} \ln\left(3-x\right)\, \mathrm d x $$ | 1 |
| 6420 | $$ \displaystyle\int \ln\left(3-x\right)\, \mathrm d x $$ | 1 |
| 6421 | $$ \displaystyle\int 5000-\left(2500-25x\right)\, \mathrm d x $$ | 1 |
| 6422 | $$ \displaystyle\int^{3}_{0} 5000-\left(2500-25x\right)\, \mathrm d x $$ | 1 |
| 6423 | $$ \displaystyle\int^{3}_{0} 5000-\left(2500-25x\right){\cdot}10\, \mathrm d x $$ | 1 |
| 6424 | $$ \displaystyle\int^{2}_{0} 5000-\left(2500-25x\right){\cdot}10\, \mathrm d x $$ | 1 |
| 6425 | $$ \displaystyle\int^{2}_{0} 5000-\left(2500-2x\right){\cdot}10\, \mathrm d x $$ | 1 |
| 6426 | $$ \displaystyle\int^{2}_{0} 50000-\left(2500-2x\right){\cdot}10\, \mathrm d x $$ | 1 |
| 6427 | $$ \displaystyle\int^{2}_{0} \dfrac{50000-\left(2500-2x\right){\cdot}10}{2500-2x}\, \mathrm d x $$ | 1 |
| 6428 | $$ \displaystyle\int^{10}_{0} \dfrac{50000-\left(2500-2x\right){\cdot}10}{2500-2x}\, \mathrm d x $$ | 1 |
| 6429 | $$ \displaystyle\int^{0.0001}_{0} \dfrac{50000-\left(2500-2x\right){\cdot}10}{2500-2x}\, \mathrm d x $$ | 1 |
| 6430 | $$ \displaystyle\int^{1}_{0} \dfrac{50000-\left(2500-2x\right){\cdot}10}{2500-2x}\, \mathrm d x $$ | 1 |
| 6431 | $$ \displaystyle\int^{1}_{0} 50000-\left(2500-2x\right){\cdot}10\, \mathrm d x $$ | 1 |
| 6432 | $$ \displaystyle\int^{0.0001}_{0} 50000-\left(2500-2x\right){\cdot}10\, \mathrm d x $$ | 1 |
| 6433 | $$ \displaystyle\int^{0.0000001}_{0} 50000-\left(2500-2x\right){\cdot}10\, \mathrm d x $$ | 1 |
| 6434 | $$ \displaystyle\int^{0.0}_{0} 50000-\left(2500-2x\right){\cdot}10\, \mathrm d x $$ | 1 |
| 6435 | $$ \displaystyle\int^{0.2}_{0} 50000-\left(2500-2x\right){\cdot}10\, \mathrm d x $$ | 1 |
| 6436 | $$ \displaystyle\int^{0.01}_{0} 50000-\left(2500-2x\right){\cdot}10\, \mathrm d x $$ | 1 |
| 6437 | $$ \displaystyle\int^{3}_{0} \dfrac{50000-\left(2500-2x\right){\cdot}10}{2500-2x}\, \mathrm d x $$ | 1 |
| 6438 | $$ \displaystyle\int {x}^{\frac{1}{2}}{\cdot}{\left(x-1\right)}^{\frac{1}{2}}\, \mathrm d x $$ | 1 |
| 6439 | $$ \displaystyle\int {x}^{\frac{1}{2}}{\cdot}{\left(x+1\right)}^{\frac{1}{2}}\, \mathrm d x $$ | 1 |
| 6440 | $$ \displaystyle\int \dfrac{1}{{x}^{2}-3}\, \mathrm d x $$ | 1 |
| 6441 | $$ \displaystyle\int \dfrac{1}{2x-1}\, \mathrm d x $$ | 1 |
| 6442 | $$ \displaystyle\int \dfrac{2x}{{x}^{2}-1}\, \mathrm d x $$ | 1 |
| 6443 | $$ \displaystyle\int \dfrac{x}{{x}^{2}-1}\, \mathrm d x $$ | 1 |
| 6444 | $$ \displaystyle\int \dfrac{2}{x-1}\, \mathrm d x $$ | 1 |
| 6445 | $$ \displaystyle\int \dfrac{1}{{x}^{\frac{2}{3}}}\, \mathrm d x $$ | 1 |
| 6446 | $$ \displaystyle\int \dfrac{12x}{{\left({x}^{2}+4\right)}^{3}}\, \mathrm d x $$ | 1 |
| 6447 | $$ \displaystyle\int {\left(1+3{x}^{2}\right)}^{4}\, \mathrm d x $$ | 1 |
| 6448 | $$ $$ | 1 |
| 6449 | $$ $$ | 1 |
| 6450 | $$ $$ | 1 |