Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 4651 | $$ \displaystyle\int^{0}_{\pi} \dfrac{{x}^{2}{\cdot}\sin\left(x\right)}{3+\cos\left(2x\right)}\, \mathrm d x $$ | 1 |
| 4652 | $$ \displaystyle\int \dfrac{{\left(\sin\left(x\right)\right)}^{2}}{2}\, \mathrm d x $$ | 1 |
| 4653 | $$ \displaystyle\int \dfrac{{\left({\mathrm{e}}^{x}+1\right)}^{2}}{{\mathrm{e}}^{x}}\, \mathrm d x $$ | 1 |
| 4654 | $$ \displaystyle\int \sin\left(x\sqrtight){\cdot}\cos\left({x}^{3}\sqrtight)\, \mathsqrtm d x $$ | 1 |
| 4655 | $$ \int^{0}_{\pi} {2}\sqrt{{{2}{\cos{{\left({x}\right)}}}}}^{{2}}+\sqrt{{{2}{\sin{{\left({\left({x}\right)}\right)}}}^{{2}}}} \, d\,x $$ | 1 |
| 4656 | $$ \displaystyle\int \sin\left(\dfrac{{\pi}{\cdot}x}{100}\right){\cdot}\sin\left(\dfrac{{\pi}{\cdot}r}{100}\right){\cdot}x\, \mathrm d x $$ | 1 |
| 4657 | $$ \int^{\pi}_{0} {2}{\cos{{\left({x}\right)}}} \, d\,x $$ | 1 |
| 4658 | $$ \int^{\pi}_{0} {2}\sqrt{{{2}-{\cos{{\left({x}\right)}}}}}^{{2}} \, d\,x $$ | 1 |
| 4659 | $$ \int^{3}_{0} {9}{x}-\frac{{1}}{{3}}{x}^{{3}} \, d\,x $$ | 1 |
| 4660 | $$ $$ | 1 |
| 4661 | $$ \displaystyle\int \dfrac{{x}^{3}-3{x}^{2}+5x-3}{x-1}\, \mathrm d x $$ | 1 |
| 4662 | $$ $$ | 1 |
| 4663 | $$ $$ | 1 |
| 4664 | $$ $$ | 1 |
| 4665 | $$ \displaystyle\int {\left(\sin\left(x\right)\right)}^{2}{\cdot}{\left(\cos\left(x\right)\right)}^{4}\, \mathrm d x $$ | 1 |
| 4666 | $$ \displaystyle\int^{3}_{1} \sqrt{\dfrac{1+9{x}^{4}}{{x}^{3}-1}}\, \mathrm d x $$ | 1 |
| 4667 | $$ \displaystyle\int \dfrac{1}{x}\, \mathrm d x $$ | 1 |
| 4668 | $$ \displaystyle\int \dfrac{\left(1+x\right){\cdot}{\left(1-x\right)}^{1}}{2}\, \mathrm d x $$ | 1 |
| 4669 | $$ $$ | 1 |
| 4670 | $$ \int^{\pi}_{0} {2}\sqrt{{{2}-{\cos{{\left({x}\right)}}}}}^{{2}}+\sqrt{{{2}{\sin{{\left({x}\right)}}}^{{2}}}} \, d\,x $$ | 1 |
| 4671 | $$ \int^{\pi}_{0} {2}\sqrt{{{2}-{\cos{{\left({x}\right)}}}}}^{{2}}+\sqrt{{2}}{\sin{{\left({\left({x}\right)}^{{2}}\right)}}} \, d\,x $$ | 1 |
| 4672 | $$ \int^{\pi}_{0} {2}\sqrt{{{2}-{\cos{{\left({x}\right)}}}}}^{{2}}+\sqrt{{{2}{\sin{{\left({\left({x}\right)}\right)}}}^{{2}}}} \, d\,x $$ | 1 |
| 4673 | $$ \int^{\pi}_{0} {2}{\sin{{\left({x}\right)}}} \, d\,x $$ | 1 |
| 4674 | $$ \int {2}{x}+{3} \, d\,x $$ | 1 |
| 4675 | $$ \displaystyle\int \dfrac{1}{1-\sin\left(x\right)}\, \mathrm d x $$ | 1 |
| 4676 | $$ \displaystyle\int^{1}_{0} x{\cdot}\ln\left(x\right)\, \mathrm d x $$ | 1 |
| 4677 | $$ $$ | 1 |
| 4678 | $$ $$ | 1 |
| 4679 | $$ $$ | 1 |
| 4680 | $$ \int^{3}_{1} {5}{x}+{9} \, d\,x $$ | 1 |
| 4681 | $$ \int^{3}_{1} {5}{x}^{{2}}+{6} \, d\,x $$ | 1 |
| 4682 | $$ \displaystyle\int a{\cdot}\sin\left(cx\right){\cdot}\sin\left(cx\right)\, \mathrm d x $$ | 1 |
| 4683 | $$ \displaystyle\int \sqrt{1+{x}^{2}}\, \mathrm d x $$ | 1 |
| 4684 | $$ \displaystyle\int^{\infty}_{0} \dfrac{1}{\sqrt{{x}^{2}-1}}{\cdot}{\mathrm{e}}^{-x}\, \mathrm d x $$ | 1 |
| 4685 | $$ \displaystyle\int {\left(\cos\left(x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 4686 | $$ \displaystyle\int \sqrt{1-{x}^{2}}\, \mathrm d x $$ | 1 |
| 4687 | $$ \displaystyle\int 1-{x}^{2}{\cdot}\tan\left(x\right)\, \mathrm d x $$ | 1 |
| 4688 | $$ \displaystyle\int^{20}_{0} x{\cdot}{\mathrm{e}}^{\frac{-x}{5}}\, \mathrm d x $$ | 1 |
| 4689 | $$ \displaystyle\int^{-2}_{-\infty} \dfrac{1}{{x}^{5}}\, \mathrm d x $$ | 1 |
| 4690 | $$ $$ | 1 |
| 4691 | $$ $$ | 1 |
| 4692 | $$ $$ | 1 |
| 4693 | $$ $$ | 1 |
| 4694 | $$ $$ | 1 |
| 4695 | $$ $$ | 1 |
| 4696 | $$ $$ | 1 |
| 4697 | $$ $$ | 1 |
| 4698 | $$ $$ | 1 |
| 4699 | $$ $$ | 1 |
| 4700 | $$ $$ | 1 |
