Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 7201 | $$ \displaystyle\int x{\cdot}\sqrt{x-1}\, \mathrm d x $$ | 1 |
| 7202 | $$ \displaystyle\int^{0}_{2} \sqrt{1+\sin\left(\dfrac{x}{2}\right)}\, \mathrm d x $$ | 1 |
| 7203 | $$ \displaystyle\int^{4}_{2} \dfrac{1}{x}\, \mathrm d x $$ | 1 |
| 7204 | $$ \displaystyle\int^{0}_{\pi/4} \sin\left(\color{orangered}{\square}\right)\, \mathrm d x $$ | 1 |
| 7205 | $$ $$ | 1 |
| 7206 | $$ $$ | 1 |
| 7207 | $$ $$ | 1 |
| 7208 | $$ $$ | 1 |
| 7209 | $$ $$ | 1 |
| 7210 | $$ $$ | 1 |
| 7211 | $$ $$ | 1 |
| 7212 | $$ $$ | 1 |
| 7213 | $$ $$ | 1 |
| 7214 | $$ $$ | 1 |
| 7215 | $$ $$ | 1 |
| 7216 | $$ $$ | 1 |
| 7217 | $$ $$ | 1 |
| 7218 | $$ $$ | 1 |
| 7219 | $$ $$ | 1 |
| 7220 | $$ $$ | 1 |
| 7221 | $$ $$ | 1 |
| 7222 | $$ $$ | 1 |
| 7223 | $$ $$ | 1 |
| 7224 | $$ $$ | 1 |
| 7225 | $$ $$ | 1 |
| 7226 | $$ $$ | 1 |
| 7227 | $$ \displaystyle\int \ln\left(3x\right)\, \mathrm d x $$ | 1 |
| 7228 | $$ \displaystyle\int \dfrac{{x}^{3}}{{\left(x-1\right)}^{4}}\, \mathrm d x $$ | 1 |
| 7229 | $$ \displaystyle\int^{\infty}_{0} x{\cdot}{\mathrm{e}}^{-x}\, \mathrm d x $$ | 1 |
| 7230 | $$ \displaystyle\int^{40}_{0} 3.39{\cdot}\cos\left(0.25x+2.28\right)+8.17\, \mathrm d x $$ | 1 |
| 7231 | $$ \int {30}\pi+{30}{x}^{{30}}{x}-{30}\pi \, d\,x $$ | 1 |
| 7232 | $$ \displaystyle\int \sin\left({x}^{2}\right)\, \mathrm d x $$ | 1 |
| 7233 | $$ \displaystyle\int^{4}_{0} \sqrt{-1+{\left(-2x+4\right)}^{2}}\, \mathrm d x $$ | 1 |
| 7234 | $$ \displaystyle\int^{4}_{0} \sqrt{1+{\left(-2x+4\right)}^{2}}\, \mathrm d x $$ | 1 |
| 7235 | $$ \displaystyle\int \dfrac{{x}^{2}-446}{{x}^{3}}\, \mathrm d x $$ | 1 |
| 7236 | $$ $$ | 1 |
| 7237 | $$ $$ | 1 |
| 7238 | $$ $$ | 1 |
| 7239 | $$ \displaystyle\int^{1}_{0} \sin\left(x\right)\, \mathrm d x $$ | 1 |
| 7240 | $$ $$ | 1 |
| 7241 | $$ \displaystyle\int 10\, \mathrm d x $$ | 1 |
| 7242 | $$ \displaystyle\int^{3}_{2} {x}^{3}-4{x}^{2}+5x-10\, \mathrm d x $$ | 1 |
| 7243 | $$ \displaystyle\int^{2}_{1/2} {\left(a-x\right)}^{2}\, \mathrm d x $$ | 1 |
| 7244 | $$ \int \frac{{x}}{{{1}-{x}}}{\left({2}+{x}\right)} \, d\,x $$ | 1 |
| 7245 | $$ \displaystyle\int^{2}_{9} 2{\pi}{\cdot}\left(9-x\right){\cdot}{\left(x-1\right)}^{\frac{1}{3}}\, \mathrm d x $$ | 1 |
| 7246 | $$ \displaystyle\int^{2}_{9} \left(9-x\right){\cdot}{\left(x-1\right)}^{\frac{1}{3}}\, \mathrm d x $$ | 1 |
| 7247 | $$ \int^{0}_{0} {x}^{{2}} \, d\,x $$ | 1 |
| 7248 | $$ \int \sqrt{{\ln{{()}}}} \, d\,x $$ | 1 |
| 7249 | $$ \displaystyle\int^{2}_{0} \sin\left(3x\right){\cdot}{\mathrm{e}}^{2x}\, \mathrm d x $$ | 1 |
| 7250 | $$ \displaystyle\int^{2}_{0} \dfrac{\left(2+\cos\left(2+{x}^{1.5}\right)\right){\cdot}{\mathrm{e}}^{0.5x}}{\sqrt{1+0.5{\cdot}\sin\left(x\right)}}\, \mathrm d x $$ | 1 |
