Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 4451 | $$ $$ | 1 |
| 4452 | $$ $$ | 1 |
| 4453 | $$ $$ | 1 |
| 4454 | $$ $$ | 1 |
| 4455 | $$ $$ | 1 |
| 4456 | $$ $$ | 1 |
| 4457 | $$ $$ | 1 |
| 4458 | $$ $$ | 1 |
| 4459 | $$ $$ | 1 |
| 4460 | $$ $$ | 1 |
| 4461 | $$ $$ | 1 |
| 4462 | $$ $$ | 1 |
| 4463 | $$ $$ | 1 |
| 4464 | $$ $$ | 1 |
| 4465 | $$ $$ | 1 |
| 4466 | $$ $$ | 1 |
| 4467 | $$ \displaystyle\int \sqrt{9{x}^{2}-729}\, \mathrm d x $$ | 1 |
| 4468 | $$ \displaystyle\int^{\infty}_{--\infty} {\mathrm{e}}^{-{x}^{2}}\, \mathrm d x $$ | 1 |
| 4469 | $$ \displaystyle\int^{\pi/2}_{0} \sqrt{1}+4{\cdot}{\left(\cos\left(2x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 4470 | $$ \displaystyle\int^{1}_{0} \dfrac{\sin\left(x\right)}{2x}\, \mathrm d x $$ | 1 |
| 4471 | $$ \displaystyle\int^{6}_{-6} \dfrac{{x}^{2}}{4{\cdot}\sin\left({x}^{3}\right)}\, \mathrm d x $$ | 1 |
| 4472 | $$ $$ | 1 |
| 4473 | $$ \displaystyle\int {x}^{2}-2\, \mathrm d x $$ | 1 |
| 4474 | $$ \displaystyle\int^{\pi/2}_{0} \dfrac{x{\cdot}\sin\left(x\right){\cdot}\cos\left(x\right)}{{\left(\cos\left(x\right)\right)}^{4}+{\left(\sin\left(x\right)\right)}^{4}}\, \mathrm d x $$ | 1 |
| 4475 | $$ \displaystyle\int^{\pi}_{0} \dfrac{x{\cdot}\sin\left(x\right){\cdot}\cos\left(x\right)}{{\left(\cos\left(x\right)\right)}^{4}+{\left(\sin\left(x\right)\right)}^{4}}\, \mathrm d x $$ | 1 |
| 4476 | $$ $$ | 1 |
| 4477 | $$ \displaystyle\int {t}^{3}\, \mathrm d x $$ | 1 |
| 4478 | $$ \displaystyle\int \dfrac{2x+3}{{x}^{2}+9}\, \mathrm d x $$ | 1 |
| 4479 | $$ \displaystyle\int^{2}_{1} \cos\left(2x\right){\cdot}{\mathrm{e}}^{\sin\left(2x\right)}\, \mathrm d x $$ | 1 |
| 4480 | $$ \displaystyle\int \dfrac{{\left(\cos\left(x\right)\right)}^{2}}{{\left(\sin\left(x\right)\right)}^{4}}\, \mathrm d x $$ | 1 |
| 4481 | $$ \displaystyle\int \dfrac{3}{4}{\cdot}\left(1-{x}^{2}\right)\, \mathrm d x $$ | 1 |
| 4482 | $$ \displaystyle\int \sqrt{16}-{x}^{2}\, \mathrm d x $$ | 1 |
| 4483 | $$ \displaystyle\int {x}^{3}{\cdot}{\mathrm{e}}^{2x}{\cdot}\left(1+{\mathrm{e}}^{x}\right)\, \mathrm d x $$ | 1 |
| 4484 | $$ \displaystyle\int^{1}_{0} 3x{\cdot}{\mathrm{e}}^{x}\, \mathrm d x $$ | 1 |
| 4485 | $$ \displaystyle\int^{\infty}_{3} \dfrac{5}{{x}^{2}+3x-4}\, \mathrm d x $$ | 1 |
| 4486 | $$ \displaystyle\int \dfrac{2{x}^{3}}{{x}^{2}}+\dfrac{3}{{x}^{2}}\, \mathrm d x $$ | 1 |
| 4487 | $$ $$ | 1 |
| 4488 | $$ $$ | 1 |
| 4489 | $$ $$ | 1 |
| 4490 | $$ $$ | 1 |
| 4491 | $$ $$ | 1 |
| 4492 | $$ $$ | 1 |
| 4493 | $$ $$ | 1 |
| 4494 | $$ $$ | 1 |
| 4495 | $$ $$ | 1 |
| 4496 | $$ \int^{\pi}_{0} {2}\sqrt{{{2}-{\cos{{\left({x}\right)}}}}}^{{2}}+{\left({2}{\sin{{\left({x}\right)}}}\right)}^{{2}} \, d\,x $$ | 1 |
| 4497 | $$ \displaystyle\int^{\pi/2}_{0} \dfrac{\sin\left(x\right)}{\sin\left(x\right)+\cos\left(x\right)}\, \mathrm d x $$ | 1 |
| 4498 | $$ \displaystyle\int^{\pi}_{0} \dfrac{{x}^{2}{\cdot}\sin\left(x\right)}{3+\cos\left(2x\right)}\, \mathrm d x $$ | 1 |
| 4499 | $$ \displaystyle\int^{0}_{\pi} \dfrac{{x}^{2}{\cdot}\sin\left(x\right)}{3+\cos\left(2x\right)}\, \mathrm d x $$ | 1 |
| 4500 | $$ \displaystyle\int \dfrac{{\left(\sin\left(x\right)\right)}^{2}}{2}\, \mathrm d x $$ | 1 |
