Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 6751 | $$ $$ | 1 |
| 6752 | $$ $$ | 1 |
| 6753 | $$ \displaystyle\int^{\pi/8}_{0} {\left(\sin\left(4\right){\cdot}x\right)}^{6}{\cdot}{\left(\cos\left(4\right){\cdot}x\right)}^{6}{\cdot}{\left(\cos\left(8\right){\cdot}x\right)}^{10}\, \mathrm d x $$ | 1 |
| 6754 | $$ \displaystyle\int^{\pi/3}_{0} \cos\left(x\right){\cdot}{\mathrm{e}}^{\sin\left(x\right)}\, \mathrm d x $$ | 1 |
| 6755 | $$ \displaystyle\int \dfrac{1}{{x}^{6}}+\dfrac{1}{{x}^{4}}\, \mathrm d x $$ | 1 |
| 6756 | $$ \displaystyle\int \mathrm{e}^{{x}^{4}+1}\, \mathrm d x $$ | 1 |
| 6757 | $$ \displaystyle\int \dfrac{{8}^{1+x}+{4}^{1-x}}{{2}^{x}}\, \mathrm d x $$ | 1 |
| 6758 | $$ \displaystyle\int \cos\left(x\right){\cdot}\ln\left(x\right)\, \mathrm d x $$ | 1 |
| 6759 | $$ $$ | 1 |
| 6760 | $$ \int \frac{{1}}{{{2}+{3}{x}^{{2}}}} \, d\,x $$ | 1 |
| 6761 | $$ \displaystyle\int^{\pi}_{0} x{\cdot}\sin\left(x\right)\, \mathrm d x $$ | 1 |
| 6762 | $$ \int {2}\pi\frac{{x}^{{1}}}{{3}}{\left(\sqrt{{{1}+\frac{{1}}{{9}}\frac{{x}^{{4}}}{{3}}}}\right)} \, d\,x $$ | 1 |
| 6763 | $$ \int^{1}_{0} {2}\pi{x}^{{\frac{{1}}{{3}}}}\sqrt{{{1}+\frac{{1}}{{9}}{x}^{{\frac{{4}}{{3}}}}}} \, d\,x $$ | 1 |
| 6764 | $$ \displaystyle\int \dfrac{4x+5}{\left(x-1\right){\cdot}{\left(x+2\right)}^{2}}\, \mathrm d x $$ | 1 |
| 6765 | $$ \displaystyle\int \dfrac{1}{{\pi}}{\cdot}\left(\dfrac{t}{{\pi}}+1\right){\cdot}\cos\left(nt\right)\, \mathrm d x $$ | 1 |
| 6766 | $$ \displaystyle\int^{1}_{0} {\left(\sin\left(x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 6767 | $$ \int {\left({10}{\cos{{\left({5}{x}\right)}}}-{2}{\sin{{\left({4}{x}\right)}}}\right)} \, d\,x $$ | 1 |
| 6768 | $$ \displaystyle\int \dfrac{4}{{x}^{2}}{\cdot}\mathrm{e}-x\, \mathrm d x $$ | 1 |
| 6769 | $$ \displaystyle\int \dfrac{4}{{x}^{2}}{\cdot}{\mathrm{e}}^{-x}\, \mathrm d x $$ | 1 |
| 6770 | $$ \displaystyle\int^{\pi/4}_{-\pi/4} 4{\cdot}\sqrt{\sec\left(\color{orangered}{\square}\right)}\, \mathrm d x $$ | 1 |
| 6771 | $$ \displaystyle\int^{\pi/2}_{\pi/4} \csc\left(x\right)\, \mathrm d x $$ | 1 |
| 6772 | $$ \int {10}{\cos{{\left({5}{x}\right)}}}-{2}{\sin{{\left({4}{x}\right)}}}\pi \, d\,x $$ | 1 |
| 6773 | $$ \displaystyle\int^{0}_{1} x{\cdot}{\mathrm{e}}^{x}\, \mathrm d x $$ | 1 |
| 6774 | $$ \displaystyle\int^{1}_{0} x{\cdot}{\mathrm{e}}^{x}\, \mathrm d x $$ | 1 |
| 6775 | $$ \int \frac{{1}}{{{\cos{{\left({x}\right)}}}^{{2}}}} \, d\,x $$ | 1 |
| 6776 | $$ \int \frac{{1}}{\sqrt{{{1}+{x}^{{2}}}}} \, d\,x $$ | 1 |
| 6777 | $$ \int {\left(\sqrt{{\sin{{\left({x}+{\cos{{\left({x}\right)}}}^{{2}}\right)}}}}\right)} \, d\,x $$ | 1 |
| 6778 | $$ \int {\left(\sqrt{{\sin{{\left({x}\right)}}}}+{\cos{{\left({x}\right)}}}^{{2}}\right)} \, d\,x $$ | 1 |
| 6779 | $$ \displaystyle\int \sin\left(\sqrt{x}\right)\, \mathrm d x $$ | 1 |
| 6780 | $$ $$ | 1 |
| 6781 | $$ \displaystyle\int^{1}_{0} {\left(x+\sqrt(3){\dfrac{1}{2}{\cdot}x-1}+1\right)}^{2}\, \mathrm d x $$ | 1 |
| 6782 | $$ $$ | 1 |
| 6783 | $$ $$ | 1 |
| 6784 | $$ $$ | 1 |
| 6785 | $$ $$ | 1 |
| 6786 | $$ $$ | 1 |
| 6787 | $$ \displaystyle\int^{1}_{0} \arctan\left(x\right)\, \mathrm d x $$ | 1 |
| 6788 | $$ \displaystyle\int^{2}_{-2} \dfrac{3}{{\left(x+3\right)}^{4}}\, \mathrm d x $$ | 1 |
| 6789 | $$ \displaystyle\int \dfrac{x}{{\left(\sin\left(x\right)\right)}^{5}}\, \mathrm d x $$ | 1 |
| 6790 | $$ \displaystyle\int \dfrac{3{\cdot}\left(1-2{\cdot}\sin\left(x\right)\right)}{2{\cdot}\cos\left(x\right)+x}\, \mathrm d x $$ | 1 |
| 6791 | $$ \displaystyle\int \dfrac{{x}^{2}}{x+1}\, \mathrm d x $$ | 1 |
| 6792 | $$ \displaystyle\int^{4}_{-4} \left(2-x\right){\cdot}\cos\left(\dfrac{n{\cdot}{\pi}{\cdot}x}{4}\right)\, \mathrm d x $$ | 1 |
| 6793 | $$ \displaystyle\int \dfrac{\cos\left(\sqrt{x}\right)}{\sqrt{x}}\, \mathrm d x $$ | 1 |
| 6794 | $$ \displaystyle\int x{\cdot}\ln\left(x\right)\, \mathrm d x $$ | 1 |
| 6795 | $$ \displaystyle\int \ln\left({x}^{2}-4x+5\right)-0.2x\, \mathrm d x $$ | 1 |
| 6796 | $$ \displaystyle\int \dfrac{{x}^{2}}{{\left(1-x\right)}^{0.5}}\, \mathrm d x $$ | 1 |
| 6797 | $$ \displaystyle\int \dfrac{3{x}^{3}-4x+1}{x-2}\, \mathrm d x $$ | 1 |
| 6798 | $$ \displaystyle\int \dfrac{\sqrt{{x}^{2}-1}}{x}\, \mathrm d x $$ | 1 |
| 6799 | $$ \displaystyle\int 3{x}^{-2}+4{x}^{3}+5x\, \mathrm d x $$ | 1 |
| 6800 | $$ $$ | 1 |
