Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 7451 | $$ $$ | 1 |
| 7452 | $$ \displaystyle\int^{\pi}_{0} \dfrac{2}{{\pi}}{\cdot}{\left(\sin\left(x\right)\right)}^{2}{\cdot}\sin\left(nx\right)\, \mathrm d x $$ | 1 |
| 7453 | $$ \displaystyle\int 1-{\mathrm{e}}^{-t}\, \mathrm d x $$ | 1 |
| 7454 | $$ \displaystyle\int 1-{\mathrm{e}}^{-t}\, \mathrm d x $$ | 1 |
| 7455 | $$ \displaystyle\int^{\pi/2}_{0} \ln\left(\tan\left(x\right)\right)\, \mathrm d x $$ | 1 |
| 7456 | $$ \displaystyle\int \dfrac{3}{3-x}\, \mathrm d x $$ | 1 |
| 7457 | $$ $$ | 1 |
| 7458 | $$ $$ | 1 |
| 7459 | $$ $$ | 1 |
| 7460 | $$ \int \frac{{7}}{{\left({8}-{x}\right)}^{{4}}} \, d\,x $$ | 1 |
| 7461 | $$ \int {\left({2}{x}-{1}\right)}^{{3}} \, d\,x $$ | 1 |
| 7462 | $$ \int {\left({2}{x}-{1}\right)}^{{5}} \, d\,x $$ | 1 |
| 7463 | $$ \displaystyle\int {\mathrm{e}}^{-{t}^{3}}\, \mathrm d x $$ | 1 |
| 7464 | $$ \displaystyle\int {\mathrm{e}}^{x}{\cdot}\sin\left(x\right){\cdot}\cos\left(x\right)\, \mathrm d x $$ | 1 |
| 7465 | $$ \displaystyle\int \dfrac{1-2x}{{x}^{3}}\, \mathrm d x $$ | 1 |
| 7466 | $$ \displaystyle\int \dfrac{{\mathrm{e}}^{-2}{\cdot}x}{\dfrac{1{\cdot}1}{5}}\, \mathrm d x $$ | 1 |
| 7467 | $$ \displaystyle\int 6{\mathrm{e}}^{3x}\, \mathrm d x $$ | 1 |
| 7468 | $$ \displaystyle\int {3}^{3x}{\cdot}{3}^{x}\, \mathrm d x $$ | 1 |
| 7469 | $$ \displaystyle\int \dfrac{1}{x{\cdot}\sqrt{{x}^{2}-1}}\, \mathrm d x $$ | 1 |
| 7470 | $$ \displaystyle\int \cos\left(8\right){\cdot}{\mathrm{e}}^{0.2}{\cdot}x\, \mathrm d x $$ | 1 |
| 7471 | $$ \displaystyle\int^{3}_{0} 65+24{\cdot}\sin\left(0.3x\right)\, \mathrm d x $$ | 1 |
| 7472 | $$ \displaystyle\int^{4}_{0} 2{\cdot}{\left(1+5{x}^{3}\right)}^{\frac{1}{2}}\, \mathrm d x $$ | 1 |
| 7473 | $$ \displaystyle\int^{3}_{1} {x}^{2}-2\, \mathrm d x $$ | 1 |
| 7474 | $$ \displaystyle\int 20000{\mathrm{e}}^{-0.12x}\, \mathrm d x $$ | 1 |
| 7475 | $$ \displaystyle\int^{12}_{0} 20000{\mathrm{e}}^{-0.12x}\, \mathrm d x $$ | 1 |
| 7476 | $$ $$ | 1 |
| 7477 | $$ \displaystyle\int \dfrac{x{\cdot}{\mathrm{e}}^{x}}{{\left(1+x\right)}^{2}}\, \mathrm d x $$ | 1 |
| 7478 | $$ \displaystyle\int^{4\pi}_{0} {\mathrm{e}}^{2x}{\cdot}\left(2+2{\cdot}\sin\left(2x\right)\right)\, \mathrm d x $$ | 1 |
| 7479 | $$ \displaystyle\int^{2.5}_{0} \sin\left({x}^{2}\right)\, \mathrm d x $$ | 1 |
| 7480 | $$ $$ | 1 |
| 7481 | $$ $$ | 1 |
| 7482 | $$ $$ | 1 |
| 7483 | $$ $$ | 1 |
| 7484 | $$ $$ | 1 |
| 7485 | $$ $$ | 1 |
| 7486 | $$ \displaystyle\int {\mathrm{e}}^{\sin\left(x\right)}{\cdot}\cos\left(x\right)\, \mathrm d x $$ | 1 |
| 7487 | $$ \displaystyle\int \sin\left(x\right){\cdot}\cos\left(x\right)\, \mathrm d x $$ | 1 |
| 7488 | $$ \displaystyle\int {x}^{2}+4x-2\, \mathrm d x $$ | 1 |
| 7489 | $$ \displaystyle\int {\mathrm{e}}^{x}{\cdot}\dfrac{{x}^{4}+2}{{\left(1+{x}^{2}\right)}^{\frac{5}{2}}}\, \mathrm d x $$ | 1 |
| 7490 | $$ \displaystyle\int^{4}_{0} \left(4-sq{\cdot}\sqrt{t}{\cdot}x\right){\cdot}sq{\cdot}\sqrt{t}{\cdot}\left(1+\dfrac{1}{4x}\right)\, \mathrm d x $$ | 1 |
| 7491 | $$ \displaystyle\int^{4}_{0} \left(4-\sqrt{x}\right){\cdot}\sqrt{1+\dfrac{1}{4x}}\, \mathrm d x $$ | 1 |
| 7492 | $$ \displaystyle\int \dfrac{{x}^{2}}{x+1}{\cdot}\left({x}^{2}+1\right)\, \mathrm d x $$ | 1 |
| 7493 | $$ \displaystyle\int \dfrac{{x}^{2}}{\left(x+1\right){\cdot}\left({x}^{2}+1\right)}\, \mathrm d x $$ | 1 |
| 7494 | $$ \displaystyle\int {x}^{0.8}-\sin\left(2x-5\right)\, \mathrm d x $$ | 1 |
| 7495 | $$ \displaystyle\int \dfrac{1}{\sin\left(\color{orangered}{\square}\right)}\, \mathrm d x $$ | 1 |
| 7496 | $$ $$ | 1 |
| 7497 | $$ $$ | 1 |
| 7498 | $$ $$ | 1 |
| 7499 | $$ \displaystyle\int 988{\cdot}\sqrt{\sin\left(\sin\left(\ln\left(\ln\left(\mathrm{e}\right)\right)\right)\right)}\, \mathrm d x $$ | 1 |
| 7500 | $$ \displaystyle\int^{\pi/4}_{0} \dfrac{1}{2}{\cdot}{\left(4.8717{\cdot}\sin\left(5x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
