Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 4551 | $$ \displaystyle\int \dfrac{1}{{\left(36-{x}^{2}\right)}^{\frac{3}{2}}}\, \mathrm d x $$ | 1 |
| 4552 | $$ $$ | 1 |
| 4553 | $$ $$ | 1 |
| 4554 | $$ $$ | 1 |
| 4555 | $$ $$ | 1 |
| 4556 | $$ $$ | 1 |
| 4557 | $$ $$ | 1 |
| 4558 | $$ \displaystyle\int^{\pi/2}_{0} \cos\left(\color{orangered}{\square}\right)\, \mathrm d x $$ | 1 |
| 4559 | $$ \displaystyle\int^{\pi/2}_{0} {\left(\cos\left(3x\right)\right)}^{6}\, \mathrm d x $$ | 1 |
| 4560 | $$ \displaystyle\int^{\pi/6}_{0} {\left(\cos\left(3x\right)\right)}^{6}\, \mathrm d x $$ | 1 |
| 4561 | $$ \displaystyle\int {x}^{2}{\cdot}\sqrt{{r}^{2}-{x}^{2}}\, \mathrm d x $$ | 1 |
| 4562 | $$ \displaystyle\int^{5}_{3} x{\cdot}\sqrt{1-{\left(x-4\right)}^{2}}\, \mathrm d x $$ | 1 |
| 4563 | $$ \displaystyle\int^{4}_{1} 4+\dfrac{6x}{\sqrt{x}}\, \mathrm d x $$ | 1 |
| 4564 | $$ \displaystyle\int \sin\left(8x\right){\cdot}\sin\left(5x\right)\, \mathrm d x $$ | 1 |
| 4565 | $$ \displaystyle\int 5{x}^{4}{\cdot}{\mathrm{e}}^{{x}^{5}}\, \mathrm d x $$ | 1 |
| 4566 | $$ \displaystyle\int 1-\cos\left(4\right){\cdot}x\, \mathrm d x $$ | 1 |
| 4567 | $$ \displaystyle\int 2x+2\, \mathrm d x $$ | 1 |
| 4568 | $$ \displaystyle\int x{\cdot}{\mathrm{e}}^{-{x}^{2}}\, \mathrm d x $$ | 1 |
| 4569 | $$ \displaystyle\int 2x{\cdot}{\mathrm{e}}^{\frac{-1}{2}{\cdot}{x}^{2}}\, \mathrm d x $$ | 1 |
| 4570 | $$ \displaystyle\int \dfrac{{3}^{x}}{\ln\left(3\right)}\, \mathrm d x $$ | 1 |
| 4571 | $$ \displaystyle\int \dfrac{4}{x{\cdot}\sqrt{{x}^{2}-9}}\, \mathrm d x $$ | 1 |
| 4572 | $$ \displaystyle\int -5x+10\, \mathrm d x $$ | 1 |
| 4573 | $$ \displaystyle\int^{2}_{0} {x}^{2}+3x-1\, \mathrm d x $$ | 1 |
| 4574 | $$ \displaystyle\int 325{\cdot}\sin\left(x\right)\, \mathrm d x $$ | 1 |
| 4575 | $$ \displaystyle\int \sin\left(\color{orangered}{\square}\right)\, \mathrm d x $$ | 1 |
| 4576 | $$ \displaystyle\int^{3}_{2} x+1\, \mathrm d x $$ | 1 |
| 4577 | $$ \displaystyle\int \tan\left(13\right){\cdot}x\, \mathrm d x $$ | 1 |
| 4578 | $$ \displaystyle\int \dfrac{15}{2x+3}\, \mathrm d x $$ | 1 |
| 4579 | $$ \displaystyle\int^{\pi/2}_{\pi/6} 2{\cdot}\sin\left(x\right)\, \mathrm d x $$ | 1 |
| 4580 | $$ \displaystyle\int \left({x}^{\frac{1}{2}}-1\right){\cdot}\left({x}^{2}+2\right)\, \mathrm d x $$ | 1 |
| 4581 | $$ \displaystyle\int \dfrac{1}{{x}^{2}-1}\, \mathrm d x $$ | 1 |
| 4582 | $$ \displaystyle\int \dfrac{1}{{\left({x}^{2}-1\right)}^{\frac{1}{3}}}\, \mathrm d x $$ | 1 |
| 4583 | $$ \displaystyle\int \dfrac{1}{{\left({x}^{1.5}+1\right)}^{\frac{1}{2}}}\, \mathrm d x $$ | 1 |
| 4584 | $$ \displaystyle\int^{e}_{1} \mathrm{e}{\cdot}\ln\left(x\right)\, \mathrm d x $$ | 1 |
| 4585 | $$ \displaystyle\int^{4}_{2} 6x{\cdot}{\mathrm{e}}^{4}{\cdot}x\, \mathrm d x $$ | 1 |
| 4586 | $$ \displaystyle\int \dfrac{1}{{\left({x}^{\frac{3}{2}}-1\right)}^{\frac{1}{2}}}\, \mathrm d x $$ | 1 |
| 4587 | $$ \displaystyle\int \sec\left(x\right){\cdot}{\left(\tan\left(x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 4588 | $$ $$ | 1 |
| 4589 | $$ $$ | 1 |
| 4590 | $$ $$ | 1 |
| 4591 | $$ $$ | 1 |
| 4592 | $$ $$ | 1 |
| 4593 | $$ $$ | 1 |
| 4594 | $$ $$ | 1 |
| 4595 | $$ $$ | 1 |
| 4596 | $$ $$ | 1 |
| 4597 | $$ $$ | 1 |
| 4598 | $$ $$ | 1 |
| 4599 | $$ $$ | 1 |
| 4600 | $$ $$ | 1 |
