Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 7101 | $$ \displaystyle\int \sin\left(x\right){\cdot}\cos\left(x\right)\, \mathrm d x $$ | 1 |
| 7102 | $$ \displaystyle\int {x}^{2}+4x-2\, \mathrm d x $$ | 1 |
| 7103 | $$ \displaystyle\int {\mathrm{e}}^{x}{\cdot}\dfrac{{x}^{4}+2}{{\left(1+{x}^{2}\right)}^{\frac{5}{2}}}\, \mathrm d x $$ | 1 |
| 7104 | $$ \displaystyle\int^{4}_{0} \left(4-sq{\cdot}\sqrt{t}{\cdot}x\right){\cdot}sq{\cdot}\sqrt{t}{\cdot}\left(1+\dfrac{1}{4x}\right)\, \mathrm d x $$ | 1 |
| 7105 | $$ \displaystyle\int^{4}_{0} \left(4-\sqrt{x}\right){\cdot}\sqrt{1+\dfrac{1}{4x}}\, \mathrm d x $$ | 1 |
| 7106 | $$ \displaystyle\int \dfrac{{x}^{2}}{x+1}{\cdot}\left({x}^{2}+1\right)\, \mathrm d x $$ | 1 |
| 7107 | $$ \displaystyle\int \dfrac{{x}^{2}}{\left(x+1\right){\cdot}\left({x}^{2}+1\right)}\, \mathrm d x $$ | 1 |
| 7108 | $$ \displaystyle\int {x}^{0.8}-\sin\left(2x-5\right)\, \mathrm d x $$ | 1 |
| 7109 | $$ \displaystyle\int \dfrac{1}{\sin\left(\color{orangered}{\square}\right)}\, \mathrm d x $$ | 1 |
| 7110 | $$ $$ | 1 |
| 7111 | $$ $$ | 1 |
| 7112 | $$ $$ | 1 |
| 7113 | $$ \displaystyle\int 988{\cdot}\sqrt{\sin\left(\sin\left(\ln\left(\ln\left(\mathrm{e}\right)\right)\right)\right)}\, \mathrm d x $$ | 1 |
| 7114 | $$ \displaystyle\int^{\pi/4}_{0} \dfrac{1}{2}{\cdot}{\left(4.8717{\cdot}\sin\left(5x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 7115 | $$ \displaystyle\int^{\pi/4}_{0} {\left(\sin\left(5x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 7116 | $$ \displaystyle\int \sqrt{9-{x}^{2}}\, \mathrm d x $$ | 1 |
| 7117 | $$ \displaystyle\int^{2}_{1} x\, \mathrm d x $$ | 1 |
| 7118 | $$ \displaystyle\int^{4}_{1} \dfrac{sq{\cdot}\sqrt{t}{\cdot}t}{{x}^{2}}\, \mathrm d x $$ | 1 |
| 7119 | $$ $$ | 1 |
| 7120 | $$ $$ | 1 |
| 7121 | $$ $$ | 1 |
| 7122 | $$ $$ | 1 |
| 7123 | $$ \displaystyle\int^{5}_{1} 5x\, \mathrm d x $$ | 1 |
| 7124 | $$ \displaystyle\int^{1}_{0} {\mathrm{e}}^{-x}\, \mathrm d x $$ | 1 |
| 7125 | $$ \displaystyle\int {x}^{7}{\cdot}{\mathrm{e}}^{3{x}^{4}}\, \mathrm d x $$ | 1 |
| 7126 | $$ $$ | 1 |
| 7127 | $$ $$ | 1 |
| 7128 | $$ $$ | 1 |
| 7129 | $$ $$ | 1 |
| 7130 | $$ $$ | 1 |
| 7131 | $$ $$ | 1 |
| 7132 | $$ $$ | 1 |
| 7133 | $$ $$ | 1 |
| 7134 | $$ $$ | 1 |
| 7135 | $$ $$ | 1 |
| 7136 | $$ $$ | 1 |
| 7137 | $$ $$ | 1 |
| 7138 | $$ \displaystyle\int \dfrac{4}{5-\sqrt{1-x}}\, \mathrm d x $$ | 1 |
| 7139 | $$ \displaystyle\int^{8}_{3} \dfrac{4}{5-sq{\cdot}\sqrt{t}{\cdot}\left(1-x\right)}\, \mathrm d x $$ | 1 |
| 7140 | $$ \int^{1}_{0} \frac{{\sin{{\left({x}\right)}}}}{{x}^{{2}}} \, d\,x $$ | 1 |
| 7141 | $$ \int^{1}_{0} \frac{{\sin{{\left({x}\right)}}}}{{x}} \, d\,x $$ | 1 |
| 7142 | $$ \int^{1}_{0} {\sin{{\left({x}\right)}}}+{x}^{{3}} \, d\,x $$ | 1 |
| 7143 | $$ $$ | 1 |
| 7144 | $$ $$ | 1 |
| 7145 | $$ $$ | 1 |
| 7146 | $$ $$ | 1 |
| 7147 | $$ $$ | 1 |
| 7148 | $$ $$ | 1 |
| 7149 | $$ $$ | 1 |
| 7150 | $$ $$ | 1 |
