Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 401 | $$ \displaystyle\int 8x{\cdot}\ln\left(x\right)\, \mathrm d x $$ | 4 |
| 402 | $$ \displaystyle\int {\left(\sin\left(x\right)\right)}^{2}{\cdot}{\left(\cos\left(x\right)\right)}^{2}\, \mathrm d x $$ | 4 |
| 403 | $$ \displaystyle\int 6{x}^{2}{\cdot}{\mathrm{e}}^{3{x}^{3}}\, \mathrm d x $$ | 4 |
| 404 | $$ \displaystyle\int 6{x}^{2}{\cdot}{\mathrm{e}}^{3{x}^{3}}\, \mathrm d x $$ | 4 |
| 405 | $$ \displaystyle\int^{-1}_{-4} \dfrac{1-{x}^{4}}{2{x}^{2}}\, \mathrm d x $$ | 4 |
| 406 | $$ \displaystyle\int {\left({x}^{2}-1\right)}^{\frac{2}{3}}\, \mathrm d x $$ | 4 |
| 407 | $$ \displaystyle\int {t}^{\frac{1}{2}}\, \mathrm d x $$ | 4 |
| 408 | $$ \displaystyle\int \dfrac{2}{9}{\cdot}x\, \mathrm d x $$ | 4 |
| 409 | $$ \displaystyle\int 9{x}^{2}+x\, \mathrm d x $$ | 3 |
| 410 | $$ $$ | 3 |
| 411 | $$ \displaystyle\int^{0}_{1} \dfrac{-{x}^{3}}{3}\, \mathrm d x $$ | 3 |
| 412 | $$ $$ | 3 |
| 413 | $$ \displaystyle\int^{\infty}_{3} {\mathrm{e}}^{-2x}\, \mathrm d x $$ | 3 |
| 414 | $$ \displaystyle\int \dfrac{x-1}{\sqrt{2x}-(\sqrt{x+1})}\, \mathrm d x $$ | 3 |
| 415 | $$ $$ | 3 |
| 416 | $$ \displaystyle\int^{\pi}_{--\pi} \cos\left(x\right){\cdot}\sin\left(nx\right)\, \mathrm d x $$ | 3 |
| 417 | $$ \displaystyle\int \left(3x+5\right){\cdot}\cos\left(\dfrac{x}{4}\right)\, \mathrm d x $$ | 3 |
| 418 | $$ \displaystyle\int^{1/2}_{-1/2} \dfrac{1}{x-1}\, \mathrm d x $$ | 3 |
| 419 | $$ \displaystyle\int {\left(\tan\left(x\right)\right)}^{2}\, \mathrm d x $$ | 3 |
| 420 | $$ \displaystyle\int {3}^{4x+5}\, \mathrm d x $$ | 3 |
| 421 | $$ \displaystyle\int {x}^{3}{\cdot}{\mathrm{e}}^{{x}^{4}+3}\, \mathrm d x $$ | 3 |
| 422 | $$ \displaystyle\int {x}^{3}{\cdot}{\mathrm{e}}^{-3{x}^{4}}\, \mathrm d x $$ | 3 |
| 423 | $$ \displaystyle\int \sqrt{2}\, \mathrm d x $$ | 3 |
| 424 | $$ \displaystyle\int {\left(\sin\left(x\right)\right)}^{2}{\cdot}{\left(\cos\left(x\right)\right)}^{4}\, \mathrm d x $$ | 3 |
| 425 | $$ \displaystyle\int^{1}_{0} {\left({x}^{2}+2x\right)}^{2}\, \mathrm d x $$ | 3 |
| 426 | $$ \displaystyle\int^{3}_{-3} 8x{\cdot}\sqrt{7+2{x}^{2}}\, \mathrm d x $$ | 3 |
| 427 | $$ \displaystyle\int \dfrac{\sqrt{100-{x}^{2}}}{2{x}^{2}}\, \mathrm d x $$ | 3 |
| 428 | $$ \displaystyle\int^{3}_{-2} {x}^{2}-1\, \mathrm d x $$ | 3 |
| 429 | $$ \displaystyle\int^{1}_{0} -x+1\, \mathrm d x $$ | 3 |
| 430 | $$ \displaystyle\int \dfrac{1}{\cos\left(x\right)}\, \mathrm d x $$ | 3 |
| 431 | $$ \displaystyle\int^{1}_{0} {x}^{3}{\cdot}{\mathrm{e}}^{2x}{\cdot}\left(1+{\mathrm{e}}^{x}\right)\, \mathrm d x $$ | 3 |
| 432 | $$ \displaystyle\int \dfrac{2x}{{x}^{2}+2x-3}\, \mathrm d x $$ | 3 |
| 433 | $$ \displaystyle\int^{5}_{2} \dfrac{2x}{{x}^{2}+2x-3}\, \mathrm d x $$ | 3 |
| 434 | $$ \displaystyle\int \dfrac{6}{{x}^{6}}+5x+4\, \mathrm d x $$ | 3 |
| 435 | $$ \displaystyle\int 3{x}^{3}+2{x}^{2}-x+5\, \mathrm d x $$ | 3 |
| 436 | $$ x $$ | 3 |
| 437 | $$ x $$ | 3 |
| 438 | $$ \displaystyle\int^{4}_{2} -x+10-{x}^{2}+4x-6\, \mathrm d x $$ | 3 |
| 439 | $$ \displaystyle\int {x}^{-1.3}\, \mathrm d x $$ | 3 |
| 440 | $$ \displaystyle\int \dfrac{1}{{x}^{2}+2x+5}\, \mathrm d x $$ | 3 |
| 441 | $$ \displaystyle\int^{1}_{0} \dfrac{2}{1+x}\, \mathrm d x $$ | 3 |
| 442 | $$ \displaystyle\int^{0.1}_{0} \dfrac{50000-\left(2500-2x\right){\cdot}10}{2500-2x}\, \mathrm d x $$ | 3 |
| 443 | $$ $$ | 3 |
| 444 | $$ \displaystyle\int^{0.1}_{0} 50000-\left(2500-2x\right){\cdot}10\, \mathrm d x $$ | 3 |
| 445 | $$ \displaystyle\int \dfrac{3x}{7-2x}\, \mathrm d x $$ | 3 |
| 446 | $$ $$ | 3 |
| 447 | $$ \displaystyle\int^{1}_{----1} x{\cdot}\left(3x-2\right)\, \mathrm d x $$ | 3 |
| 448 | $$ $$ | 3 |
| 449 | $$ $$ | 3 |
| 450 | $$ $$ | 3 |
