Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 6701 | $$ \displaystyle\int {\left(\cos\left(2x\right)\right)}^{3}{\cdot}\sin\left(2x\right)\, \mathrm d x $$ | 1 |
| 6702 | $$ \displaystyle\int \sin\left(\color{orangered}{\square}\right)\, \mathrm d x $$ | 1 |
| 6703 | $$ \displaystyle\int \dfrac{11{\cdot}\ln\left(x\right)}{x{\cdot}\sqrt{2+{\left(\ln\left(x\right)\right)}^{2}}}\, \mathrm d x $$ | 1 |
| 6704 | $$ \displaystyle\int \dfrac{10{x}^{2}+4}{\left(x-9\right){\cdot}\left(x-8\right)}\, \mathrm d x $$ | 1 |
| 6705 | $$ \displaystyle\int^{2}_{----1} 0\, \mathrm d x $$ | 1 |
| 6706 | $$ \displaystyle\int 5{\cdot}\cos\left(x\right)\, \mathrm d x $$ | 1 |
| 6707 | $$ \displaystyle\int x{\cdot}\sec\left(x\right){\cdot}\left({x}^{2}-5\right)\, \mathrm d x $$ | 1 |
| 6708 | $$ \displaystyle\int {\left({x}^{3}-4x\right)}^{4}{\cdot}\left(9{x}^{2}-12\right)\, \mathrm d x $$ | 1 |
| 6709 | $$ \displaystyle\int \dfrac{x+7}{x+9}\, \mathrm d x $$ | 1 |
| 6710 | $$ $$ | 1 |
| 6711 | $$ $$ | 1 |
| 6712 | $$ $$ | 1 |
| 6713 | $$ \displaystyle\int 3+{x}^{2}\, \mathrm d x $$ | 1 |
| 6714 | $$ \displaystyle\int \left(2{x}^{3}+5{x}^{5}\right){\cdot}\left(3{x}^{-2}+{x}^{2}\right)\, \mathrm d x $$ | 1 |
| 6715 | $$ $$ | 1 |
| 6716 | $$ $$ | 1 |
| 6717 | $$ $$ | 1 |
| 6718 | $$ $$ | 1 |
| 6719 | $$ \displaystyle\int^{-4}_{2} 23{x}^{2}-4x-16\, \mathrm d x $$ | 1 |
| 6720 | $$ \displaystyle\int \dfrac{1}{1+\dfrac{x}{a}}\, \mathrm d x $$ | 1 |
| 6721 | $$ $$ | 1 |
| 6722 | $$ $$ | 1 |
| 6723 | $$ $$ | 1 |
| 6724 | $$ $$ | 1 |
| 6725 | $$ $$ | 1 |
| 6726 | $$ $$ | 1 |
| 6727 | $$ $$ | 1 |
| 6728 | $$ $$ | 1 |
| 6729 | $$ $$ | 1 |
| 6730 | $$ $$ | 1 |
| 6731 | $$ $$ | 1 |
| 6732 | $$ $$ | 1 |
| 6733 | $$ \displaystyle\int -3{\cdot}\cos\left(\dfrac{{x}^{2}}{5}\right)\, \mathrm d x $$ | 1 |
| 6734 | $$ $$ | 1 |
| 6735 | $$ $$ | 1 |
| 6736 | $$ $$ | 1 |
| 6737 | $$ \displaystyle\int \dfrac{5x-12}{{x}^{3}-6{x}^{2}+8x}\, \mathrm d x $$ | 1 |
| 6738 | $$ \displaystyle\int \dfrac{\cos\left(x\right)}{\sqrt{2+\cos\left(x\right)}}\, \mathrm d x $$ | 1 |
| 6739 | $$ \displaystyle\int \dfrac{\cos\left(x\right)}{s}{\cdot}q{\cdot}\sqrt{t}{\cdot}\left(2+\cos\left(x\right)\right)\, \mathrm d x $$ | 1 |
| 6740 | $$ \displaystyle\int {\left(\sin\left(\dfrac{{x}^{\frac{1}{2}}}{{2}^{\frac{1}{2}}}\right)\right)}^{-1}\, \mathrm d x $$ | 1 |
| 6741 | $$ \displaystyle\int {\left(\sin\left(\dfrac{{x}^{\frac{1}{2}}}{{2}^{\frac{1}{2}}}\right)\right)}^{-1}\, \mathrm d x $$ | 1 |
| 6742 | $$ \displaystyle\int \dfrac{\sqrt{x}}{\sqrt{x}-1}\, \mathrm d x $$ | 1 |
| 6743 | $$ \displaystyle\int {x}^{5}{\cdot}\mathrm{arccsc}\left({x}^{6}+9\right)\, \mathrm d x $$ | 1 |
| 6744 | $$ \displaystyle\int {x}^{2}{\cdot}\sqrt{8+9{x}^{2}}\, \mathrm d x $$ | 1 |
| 6745 | $$ $$ | 1 |
| 6746 | $$ $$ | 1 |
| 6747 | $$ $$ | 1 |
| 6748 | $$ $$ | 1 |
| 6749 | $$ $$ | 1 |
| 6750 | $$ $$ | 1 |
