Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 4401 | $$ $$ | 1 |
| 4402 | $$ $$ | 1 |
| 4403 | $$ $$ | 1 |
| 4404 | $$ $$ | 1 |
| 4405 | $$ $$ | 1 |
| 4406 | $$ $$ | 1 |
| 4407 | $$ \displaystyle\int^{\pi/2}_{0} \cos\left(\color{orangered}{\square}\right)\, \mathrm d x $$ | 1 |
| 4408 | $$ \displaystyle\int^{\pi/2}_{0} {\left(\cos\left(3x\right)\right)}^{6}\, \mathrm d x $$ | 1 |
| 4409 | $$ \displaystyle\int^{\pi/6}_{0} {\left(\cos\left(3x\right)\right)}^{6}\, \mathrm d x $$ | 1 |
| 4410 | $$ \displaystyle\int {x}^{2}{\cdot}\sqrt{{r}^{2}-{x}^{2}}\, \mathrm d x $$ | 1 |
| 4411 | $$ \displaystyle\int^{5}_{3} x{\cdot}\sqrt{1-{\left(x-4\right)}^{2}}\, \mathrm d x $$ | 1 |
| 4412 | $$ \displaystyle\int^{4}_{1} 4+\dfrac{6x}{\sqrt{x}}\, \mathrm d x $$ | 1 |
| 4413 | $$ \displaystyle\int \sin\left(8x\right){\cdot}\sin\left(5x\right)\, \mathrm d x $$ | 1 |
| 4414 | $$ \displaystyle\int 5{x}^{4}{\cdot}{\mathrm{e}}^{{x}^{5}}\, \mathrm d x $$ | 1 |
| 4415 | $$ \displaystyle\int 1-\cos\left(4\right){\cdot}x\, \mathrm d x $$ | 1 |
| 4416 | $$ \displaystyle\int 2x+2\, \mathrm d x $$ | 1 |
| 4417 | $$ \displaystyle\int x{\cdot}{\mathrm{e}}^{-{x}^{2}}\, \mathrm d x $$ | 1 |
| 4418 | $$ \displaystyle\int 2x{\cdot}{\mathrm{e}}^{\frac{-1}{2}{\cdot}{x}^{2}}\, \mathrm d x $$ | 1 |
| 4419 | $$ \displaystyle\int \dfrac{{3}^{x}}{\ln\left(3\right)}\, \mathrm d x $$ | 1 |
| 4420 | $$ \displaystyle\int \dfrac{4}{x{\cdot}\sqrt{{x}^{2}-9}}\, \mathrm d x $$ | 1 |
| 4421 | $$ \displaystyle\int -5x+10\, \mathrm d x $$ | 1 |
| 4422 | $$ \displaystyle\int^{2}_{0} {x}^{2}+3x-1\, \mathrm d x $$ | 1 |
| 4423 | $$ \displaystyle\int 325{\cdot}\sin\left(x\right)\, \mathrm d x $$ | 1 |
| 4424 | $$ \displaystyle\int \sin\left(\color{orangered}{\square}\right)\, \mathrm d x $$ | 1 |
| 4425 | $$ \displaystyle\int^{3}_{2} x+1\, \mathrm d x $$ | 1 |
| 4426 | $$ \displaystyle\int \tan\left(13\right){\cdot}x\, \mathrm d x $$ | 1 |
| 4427 | $$ \displaystyle\int \dfrac{15}{2x+3}\, \mathrm d x $$ | 1 |
| 4428 | $$ \displaystyle\int^{\pi/2}_{\pi/6} 2{\cdot}\sin\left(x\right)\, \mathrm d x $$ | 1 |
| 4429 | $$ \displaystyle\int \left({x}^{\frac{1}{2}}-1\right){\cdot}\left({x}^{2}+2\right)\, \mathrm d x $$ | 1 |
| 4430 | $$ \displaystyle\int \dfrac{1}{{x}^{2}-1}\, \mathrm d x $$ | 1 |
| 4431 | $$ \displaystyle\int \dfrac{1}{{\left({x}^{2}-1\right)}^{\frac{1}{3}}}\, \mathrm d x $$ | 1 |
| 4432 | $$ \displaystyle\int \dfrac{1}{{\left({x}^{1.5}+1\right)}^{\frac{1}{2}}}\, \mathrm d x $$ | 1 |
| 4433 | $$ \displaystyle\int^{e}_{1} \mathrm{e}{\cdot}\ln\left(x\right)\, \mathrm d x $$ | 1 |
| 4434 | $$ \displaystyle\int^{4}_{2} 6x{\cdot}{\mathrm{e}}^{4}{\cdot}x\, \mathrm d x $$ | 1 |
| 4435 | $$ \displaystyle\int \dfrac{1}{{\left({x}^{\frac{3}{2}}-1\right)}^{\frac{1}{2}}}\, \mathrm d x $$ | 1 |
| 4436 | $$ \displaystyle\int \sec\left(x\right){\cdot}{\left(\tan\left(x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 4437 | $$ $$ | 1 |
| 4438 | $$ $$ | 1 |
| 4439 | $$ $$ | 1 |
| 4440 | $$ $$ | 1 |
| 4441 | $$ $$ | 1 |
| 4442 | $$ $$ | 1 |
| 4443 | $$ $$ | 1 |
| 4444 | $$ $$ | 1 |
| 4445 | $$ $$ | 1 |
| 4446 | $$ $$ | 1 |
| 4447 | $$ $$ | 1 |
| 4448 | $$ $$ | 1 |
| 4449 | $$ $$ | 1 |
| 4450 | $$ $$ | 1 |
