Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 4601 | $$ $$ | 1 |
| 4602 | $$ $$ | 1 |
| 4603 | $$ $$ | 1 |
| 4604 | $$ $$ | 1 |
| 4605 | $$ $$ | 1 |
| 4606 | $$ $$ | 1 |
| 4607 | $$ $$ | 1 |
| 4608 | $$ $$ | 1 |
| 4609 | $$ $$ | 1 |
| 4610 | $$ $$ | 1 |
| 4611 | $$ $$ | 1 |
| 4612 | $$ $$ | 1 |
| 4613 | $$ $$ | 1 |
| 4614 | $$ $$ | 1 |
| 4615 | $$ $$ | 1 |
| 4616 | $$ $$ | 1 |
| 4617 | $$ $$ | 1 |
| 4618 | $$ $$ | 1 |
| 4619 | $$ \displaystyle\int \sqrt{9{x}^{2}-729}\, \mathrm d x $$ | 1 |
| 4620 | $$ \displaystyle\int^{\infty}_{--\infty} {\mathrm{e}}^{-{x}^{2}}\, \mathrm d x $$ | 1 |
| 4621 | $$ \displaystyle\int^{\pi/2}_{0} \sqrt{1}+4{\cdot}{\left(\cos\left(2x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 4622 | $$ \displaystyle\int^{1}_{0} \dfrac{\sin\left(x\right)}{2x}\, \mathrm d x $$ | 1 |
| 4623 | $$ \displaystyle\int^{6}_{-6} \dfrac{{x}^{2}}{4{\cdot}\sin\left({x}^{3}\right)}\, \mathrm d x $$ | 1 |
| 4624 | $$ $$ | 1 |
| 4625 | $$ \displaystyle\int {x}^{2}-2\, \mathrm d x $$ | 1 |
| 4626 | $$ \displaystyle\int^{\pi/2}_{0} \dfrac{x{\cdot}\sin\left(x\right){\cdot}\cos\left(x\right)}{{\left(\cos\left(x\right)\right)}^{4}+{\left(\sin\left(x\right)\right)}^{4}}\, \mathrm d x $$ | 1 |
| 4627 | $$ \displaystyle\int^{\pi}_{0} \dfrac{x{\cdot}\sin\left(x\right){\cdot}\cos\left(x\right)}{{\left(\cos\left(x\right)\right)}^{4}+{\left(\sin\left(x\right)\right)}^{4}}\, \mathrm d x $$ | 1 |
| 4628 | $$ $$ | 1 |
| 4629 | $$ \displaystyle\int {t}^{3}\, \mathrm d x $$ | 1 |
| 4630 | $$ \displaystyle\int \dfrac{2x+3}{{x}^{2}+9}\, \mathrm d x $$ | 1 |
| 4631 | $$ \displaystyle\int^{2}_{1} \cos\left(2x\right){\cdot}{\mathrm{e}}^{\sin\left(2x\right)}\, \mathrm d x $$ | 1 |
| 4632 | $$ \displaystyle\int \dfrac{{\left(\cos\left(x\right)\right)}^{2}}{{\left(\sin\left(x\right)\right)}^{4}}\, \mathrm d x $$ | 1 |
| 4633 | $$ \displaystyle\int \dfrac{3}{4}{\cdot}\left(1-{x}^{2}\right)\, \mathrm d x $$ | 1 |
| 4634 | $$ \displaystyle\int \sqrt{16}-{x}^{2}\, \mathrm d x $$ | 1 |
| 4635 | $$ \displaystyle\int {x}^{3}{\cdot}{\mathrm{e}}^{2x}{\cdot}\left(1+{\mathrm{e}}^{x}\right)\, \mathrm d x $$ | 1 |
| 4636 | $$ \displaystyle\int^{1}_{0} 3x{\cdot}{\mathrm{e}}^{x}\, \mathrm d x $$ | 1 |
| 4637 | $$ \displaystyle\int^{\infty}_{3} \dfrac{5}{{x}^{2}+3x-4}\, \mathrm d x $$ | 1 |
| 4638 | $$ \displaystyle\int \dfrac{2{x}^{3}}{{x}^{2}}+\dfrac{3}{{x}^{2}}\, \mathrm d x $$ | 1 |
| 4639 | $$ $$ | 1 |
| 4640 | $$ $$ | 1 |
| 4641 | $$ $$ | 1 |
| 4642 | $$ $$ | 1 |
| 4643 | $$ $$ | 1 |
| 4644 | $$ $$ | 1 |
| 4645 | $$ $$ | 1 |
| 4646 | $$ $$ | 1 |
| 4647 | $$ $$ | 1 |
| 4648 | $$ \int^{\pi}_{0} {2}\sqrt{{{2}-{\cos{{\left({x}\right)}}}}}^{{2}}+{\left({2}{\sin{{\left({x}\right)}}}\right)}^{{2}} \, d\,x $$ | 1 |
| 4649 | $$ \displaystyle\int^{\pi/2}_{0} \dfrac{\sin\left(x\right)}{\sin\left(x\right)+\cos\left(x\right)}\, \mathrm d x $$ | 1 |
| 4650 | $$ \displaystyle\int^{\pi}_{0} \dfrac{{x}^{2}{\cdot}\sin\left(x\right)}{3+\cos\left(2x\right)}\, \mathrm d x $$ | 1 |
