Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 4501 | $$ \displaystyle\int \dfrac{{\left({\mathrm{e}}^{x}+1\right)}^{2}}{{\mathrm{e}}^{x}}\, \mathrm d x $$ | 1 |
| 4502 | $$ \displaystyle\int \sin\left(x\sqrtight){\cdot}\cos\left({x}^{3}\sqrtight)\, \mathsqrtm d x $$ | 1 |
| 4503 | $$ \int^{0}_{\pi} {2}\sqrt{{{2}{\cos{{\left({x}\right)}}}}}^{{2}}+\sqrt{{{2}{\sin{{\left({\left({x}\right)}\right)}}}^{{2}}}} \, d\,x $$ | 1 |
| 4504 | $$ \displaystyle\int \sin\left(\dfrac{{\pi}{\cdot}x}{100}\right){\cdot}\sin\left(\dfrac{{\pi}{\cdot}r}{100}\right){\cdot}x\, \mathrm d x $$ | 1 |
| 4505 | $$ \int^{\pi}_{0} {2}{\cos{{\left({x}\right)}}} \, d\,x $$ | 1 |
| 4506 | $$ \int^{\pi}_{0} {2}\sqrt{{{2}-{\cos{{\left({x}\right)}}}}}^{{2}} \, d\,x $$ | 1 |
| 4507 | $$ \int^{3}_{0} {9}{x}-\frac{{1}}{{3}}{x}^{{3}} \, d\,x $$ | 1 |
| 4508 | $$ $$ | 1 |
| 4509 | $$ \displaystyle\int \dfrac{{x}^{3}-3{x}^{2}+5x-3}{x-1}\, \mathrm d x $$ | 1 |
| 4510 | $$ $$ | 1 |
| 4511 | $$ $$ | 1 |
| 4512 | $$ $$ | 1 |
| 4513 | $$ \displaystyle\int {\left(\sin\left(x\right)\right)}^{2}{\cdot}{\left(\cos\left(x\right)\right)}^{4}\, \mathrm d x $$ | 1 |
| 4514 | $$ \displaystyle\int^{3}_{1} \sqrt{\dfrac{1+9{x}^{4}}{{x}^{3}-1}}\, \mathrm d x $$ | 1 |
| 4515 | $$ \displaystyle\int \dfrac{1}{x}\, \mathrm d x $$ | 1 |
| 4516 | $$ \displaystyle\int \dfrac{\left(1+x\right){\cdot}{\left(1-x\right)}^{1}}{2}\, \mathrm d x $$ | 1 |
| 4517 | $$ $$ | 1 |
| 4518 | $$ \int^{\pi}_{0} {2}\sqrt{{{2}-{\cos{{\left({x}\right)}}}}}^{{2}}+\sqrt{{{2}{\sin{{\left({x}\right)}}}^{{2}}}} \, d\,x $$ | 1 |
| 4519 | $$ \int^{\pi}_{0} {2}\sqrt{{{2}-{\cos{{\left({x}\right)}}}}}^{{2}}+\sqrt{{2}}{\sin{{\left({\left({x}\right)}^{{2}}\right)}}} \, d\,x $$ | 1 |
| 4520 | $$ \int^{\pi}_{0} {2}\sqrt{{{2}-{\cos{{\left({x}\right)}}}}}^{{2}}+\sqrt{{{2}{\sin{{\left({\left({x}\right)}\right)}}}^{{2}}}} \, d\,x $$ | 1 |
| 4521 | $$ \int^{\pi}_{0} {2}{\sin{{\left({x}\right)}}} \, d\,x $$ | 1 |
| 4522 | $$ \int {2}{x}+{3} \, d\,x $$ | 1 |
| 4523 | $$ \displaystyle\int \dfrac{1}{1-\sin\left(x\right)}\, \mathrm d x $$ | 1 |
| 4524 | $$ \displaystyle\int^{1}_{0} x{\cdot}\ln\left(x\right)\, \mathrm d x $$ | 1 |
| 4525 | $$ $$ | 1 |
| 4526 | $$ $$ | 1 |
| 4527 | $$ $$ | 1 |
| 4528 | $$ \int^{3}_{1} {5}{x}+{9} \, d\,x $$ | 1 |
| 4529 | $$ \int^{3}_{1} {5}{x}^{{2}}+{6} \, d\,x $$ | 1 |
| 4530 | $$ \displaystyle\int a{\cdot}\sin\left(cx\right){\cdot}\sin\left(cx\right)\, \mathrm d x $$ | 1 |
| 4531 | $$ \displaystyle\int \sqrt{1+{x}^{2}}\, \mathrm d x $$ | 1 |
| 4532 | $$ \displaystyle\int^{\infty}_{0} \dfrac{1}{\sqrt{{x}^{2}-1}}{\cdot}{\mathrm{e}}^{-x}\, \mathrm d x $$ | 1 |
| 4533 | $$ \displaystyle\int {\left(\cos\left(x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 4534 | $$ \displaystyle\int \sqrt{1-{x}^{2}}\, \mathrm d x $$ | 1 |
| 4535 | $$ \displaystyle\int 1-{x}^{2}{\cdot}\tan\left(x\right)\, \mathrm d x $$ | 1 |
| 4536 | $$ \displaystyle\int^{20}_{0} x{\cdot}{\mathrm{e}}^{\frac{-x}{5}}\, \mathrm d x $$ | 1 |
| 4537 | $$ \displaystyle\int^{-2}_{-\infty} \dfrac{1}{{x}^{5}}\, \mathrm d x $$ | 1 |
| 4538 | $$ $$ | 1 |
| 4539 | $$ $$ | 1 |
| 4540 | $$ $$ | 1 |
| 4541 | $$ $$ | 1 |
| 4542 | $$ $$ | 1 |
| 4543 | $$ $$ | 1 |
| 4544 | $$ $$ | 1 |
| 4545 | $$ $$ | 1 |
| 4546 | $$ $$ | 1 |
| 4547 | $$ $$ | 1 |
| 4548 | $$ $$ | 1 |
| 4549 | $$ $$ | 1 |
| 4550 | $$ $$ | 1 |
