Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 7051 | $$ \displaystyle\int x{\cdot}\sqrt{x-1}\, \mathrm d x $$ | 1 |
| 7052 | $$ \displaystyle\int^{0}_{2} \sqrt{1+\sin\left(\dfrac{x}{2}\right)}\, \mathrm d x $$ | 1 |
| 7053 | $$ \displaystyle\int^{4}_{2} \dfrac{1}{x}\, \mathrm d x $$ | 1 |
| 7054 | $$ \displaystyle\int^{0}_{\pi/4} \sin\left(\color{orangered}{\square}\right)\, \mathrm d x $$ | 1 |
| 7055 | $$ $$ | 1 |
| 7056 | $$ $$ | 1 |
| 7057 | $$ $$ | 1 |
| 7058 | $$ $$ | 1 |
| 7059 | $$ $$ | 1 |
| 7060 | $$ $$ | 1 |
| 7061 | $$ $$ | 1 |
| 7062 | $$ $$ | 1 |
| 7063 | $$ $$ | 1 |
| 7064 | $$ $$ | 1 |
| 7065 | $$ $$ | 1 |
| 7066 | $$ $$ | 1 |
| 7067 | $$ $$ | 1 |
| 7068 | $$ $$ | 1 |
| 7069 | $$ $$ | 1 |
| 7070 | $$ $$ | 1 |
| 7071 | $$ $$ | 1 |
| 7072 | $$ $$ | 1 |
| 7073 | $$ $$ | 1 |
| 7074 | $$ $$ | 1 |
| 7075 | $$ $$ | 1 |
| 7076 | $$ $$ | 1 |
| 7077 | $$ \displaystyle\int \ln\left(3x\right)\, \mathrm d x $$ | 1 |
| 7078 | $$ \displaystyle\int \dfrac{{x}^{3}}{{\left(x-1\right)}^{4}}\, \mathrm d x $$ | 1 |
| 7079 | $$ \displaystyle\int^{\infty}_{0} x{\cdot}{\mathrm{e}}^{-x}\, \mathrm d x $$ | 1 |
| 7080 | $$ \displaystyle\int^{40}_{0} 3.39{\cdot}\cos\left(0.25x+2.28\right)+8.17\, \mathrm d x $$ | 1 |
| 7081 | $$ \int {30}\pi+{30}{x}^{{30}}{x}-{30}\pi \, d\,x $$ | 1 |
| 7082 | $$ \displaystyle\int \sin\left({x}^{2}\right)\, \mathrm d x $$ | 1 |
| 7083 | $$ \displaystyle\int^{4}_{0} \sqrt{-1+{\left(-2x+4\right)}^{2}}\, \mathrm d x $$ | 1 |
| 7084 | $$ \displaystyle\int^{4}_{0} \sqrt{1+{\left(-2x+4\right)}^{2}}\, \mathrm d x $$ | 1 |
| 7085 | $$ \displaystyle\int \dfrac{{x}^{2}-446}{{x}^{3}}\, \mathrm d x $$ | 1 |
| 7086 | $$ $$ | 1 |
| 7087 | $$ $$ | 1 |
| 7088 | $$ $$ | 1 |
| 7089 | $$ \displaystyle\int^{1}_{0} \sin\left(x\right)\, \mathrm d x $$ | 1 |
| 7090 | $$ $$ | 1 |
| 7091 | $$ \displaystyle\int 10\, \mathrm d x $$ | 1 |
| 7092 | $$ \displaystyle\int^{3}_{2} {x}^{3}-4{x}^{2}+5x-10\, \mathrm d x $$ | 1 |
| 7093 | $$ \displaystyle\int^{2}_{1/2} {\left(a-x\right)}^{2}\, \mathrm d x $$ | 1 |
| 7094 | $$ \int \frac{{x}}{{{1}-{x}}}{\left({2}+{x}\right)} \, d\,x $$ | 1 |
| 7095 | $$ \displaystyle\int^{2}_{9} 2{\pi}{\cdot}\left(9-x\right){\cdot}{\left(x-1\right)}^{\frac{1}{3}}\, \mathrm d x $$ | 1 |
| 7096 | $$ \displaystyle\int^{2}_{9} \left(9-x\right){\cdot}{\left(x-1\right)}^{\frac{1}{3}}\, \mathrm d x $$ | 1 |
| 7097 | $$ \int^{0}_{0} {x}^{{2}} \, d\,x $$ | 1 |
| 7098 | $$ \int \sqrt{{\ln{{()}}}} \, d\,x $$ | 1 |
| 7099 | $$ \displaystyle\int^{2}_{0} \sin\left(3x\right){\cdot}{\mathrm{e}}^{2x}\, \mathrm d x $$ | 1 |
| 7100 | $$ \displaystyle\int^{2}_{0} \dfrac{\left(2+\cos\left(2+{x}^{1.5}\right)\right){\cdot}{\mathrm{e}}^{0.5x}}{\sqrt{1+0.5{\cdot}\sin\left(x\right)}}\, \mathrm d x $$ | 1 |
