Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 301 | $$ \displaystyle\int \dfrac{1}{500-25x}\, \mathrm d x $$ | 4 |
| 302 | $$ \displaystyle\int^{2}_{1} \dfrac{x}{{\left(1-{\mathrm{e}}^{-{x}^{2}}\right)}^{\frac{1}{2}}}\, \mathrm d x $$ | 4 |
| 303 | $$ $$ | 4 |
| 304 | $$ $$ | 4 |
| 305 | $$ \displaystyle\int \dfrac{{\left(1-\ln\left(\dfrac{1}{\sin\left(3x\right)}\right)\right)}^{\frac{1}{3}}}{\tan\left(3x\right)}\, \mathrm d x $$ | 4 |
| 306 | $$ \displaystyle\int {\left({x}^{2}-{a}^{2}\right)}^{4}\, \mathrm d x $$ | 4 |
| 307 | $$ $$ | 4 |
| 308 | $$ $$ | 4 |
| 309 | $$ $$ | 4 |
| 310 | $$ $$ | 4 |
| 311 | $$ \displaystyle\int \dfrac{1}{{x}^{2}+4x+5}\, \mathrm d x $$ | 4 |
| 312 | $$ \displaystyle\int 1\, \mathrm d x $$ | 4 |
| 313 | $$ \displaystyle\int {x}^{\frac{2}{3}}\, \mathrm d x $$ | 4 |
| 314 | $$ \displaystyle\int \dfrac{1}{2{x}^{2}-x-1}\, \mathrm d x $$ | 4 |
| 315 | $$ \displaystyle\int^{\infty}_{4} \dfrac{{x}^{2-1}{\cdot}{\mathrm{e}}^{\frac{-x}{4}}}{{4}^{2}{\cdot}1}\, \mathrm d x $$ | 4 |
| 316 | $$ \displaystyle\int^{\infty}_{4} \dfrac{\left({x}^{2}-1\right){\cdot}\dfrac{{\mathrm{e}}^{-x}}{4}}{{4}^{2}}{\cdot}1\, \mathrm d x $$ | 4 |
| 317 | $$ \displaystyle\int^{4}_{\infty} \dfrac{\dfrac{\left({x}^{2}-1\right){\cdot}{\mathrm{e}}^{-x}}{4}}{{4}^{2}}{\cdot}1\, \mathrm d x $$ | 4 |
| 318 | $$ \displaystyle\int {x}^{3}{\cdot}\sin\left(x\right)\, \mathrm d x $$ | 4 |
| 319 | $$ \displaystyle\int \dfrac{{\left({x}^{3}-{x}^{8}\right)}^{5}}{{x}^{-3}}\, \mathrm d x $$ | 4 |
| 320 | $$ $$ | 4 |
| 321 | $$ $$ | 4 |
| 322 | $$ \displaystyle\int \dfrac{\dfrac{1}{{\left(2+x\right)}^{\frac{5}{2}}}{\cdot}1}{{x}^{2}}\, \mathrm d x $$ | 4 |
| 323 | $$ $$ | 4 |
| 324 | $$ \displaystyle\int \dfrac{4.75}{x}\, \mathrm d x $$ | 4 |
| 325 | $$ \displaystyle\int \dfrac{1}{\sqrt{x}}\, \mathrm d x $$ | 4 |
| 326 | $$ $$ | 4 |
| 327 | $$ $$ | 4 |
| 328 | $$ $$ | 4 |
| 329 | $$ $$ | 4 |
| 330 | $$ $$ | 4 |
| 331 | $$ $$ | 4 |
| 332 | $$ $$ | 4 |
| 333 | $$ $$ | 4 |
| 334 | $$ \displaystyle\int^{\pi/2}_{0} \dfrac{{\pi}}{2}{\cdot}x{\cdot}\cos\left(x\right)\, \mathrm d x $$ | 4 |
| 335 | $$ \displaystyle\int \dfrac{1}{1-3{\cdot}\sin\left(x\right)}\, \mathrm d x $$ | 4 |
| 336 | $$ \displaystyle\int {\mathrm{e}}^{3x}{\cdot}\left(x+1\right)\, \mathrm d x $$ | 4 |
| 337 | $$ \displaystyle\int \sqrt{8}{\cdot}x\, \mathrm d x $$ | 4 |
| 338 | $$ \displaystyle\int {x}^{2}+3x-1\, \mathrm d x $$ | 4 |
| 339 | $$ \displaystyle\int \dfrac{3+4x+5{x}^{2}+3{x}^{3}}{{x}^{3}+3{x}^{2}}\, \mathrm d x $$ | 4 |
| 340 | $$ \displaystyle\int \dfrac{2}{9}{\cdot}x\, \mathrm d x $$ | 4 |
| 341 | $$ \displaystyle\int 4{\cdot}\cos\left(\color{orangered}{\square}\right)\, \mathrm d x $$ | 4 |
| 342 | $$ \displaystyle\int^{7}_{1} x\, \mathrm d x $$ | 4 |
| 343 | $$ \displaystyle\int {t}^{\frac{1}{2}}\, \mathrm d x $$ | 4 |
| 344 | $$ \displaystyle\int xx\, \mathrm d x $$ | 4 |
| 345 | $$ \displaystyle\int \left(2x+1\right){\cdot}\sqrt{{x}^{2}+4x+5}\, \mathrm d x $$ | 4 |
| 346 | $$ \displaystyle\int \dfrac{1}{{x}^{3}}\, \mathrm d x $$ | 4 |
| 347 | $$ \displaystyle\int 8x{\cdot}\ln\left(x\right)\, \mathrm d x $$ | 4 |
| 348 | $$ \displaystyle\int {\left(\sin\left(x\right)\right)}^{2}{\cdot}{\left(\cos\left(x\right)\right)}^{2}\, \mathrm d x $$ | 4 |
| 349 | $$ \displaystyle\int 6{x}^{2}{\cdot}{\mathrm{e}}^{3{x}^{3}}\, \mathrm d x $$ | 4 |
| 350 | $$ \displaystyle\int 6{x}^{2}{\cdot}{\mathrm{e}}^{3{x}^{3}}\, \mathrm d x $$ | 4 |
