Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 6701 | $$ $$ | 1 |
| 6702 | $$ $$ | 1 |
| 6703 | $$ $$ | 1 |
| 6704 | $$ $$ | 1 |
| 6705 | $$ $$ | 1 |
| 6706 | $$ \displaystyle\int \dfrac{1{\cdot}\tan\left(x\right)}{\color{orangered}{\square}}\, \mathrm d x $$ | 1 |
| 6707 | $$ \displaystyle\int \dfrac{1{\cdot}\tan\left(x\right)}{\color{orangered}{\square}}\, \mathrm d x $$ | 1 |
| 6708 | $$ \displaystyle\int \dfrac{5}{{x}^{2}+4}\, \mathrm d x $$ | 1 |
| 6709 | $$ \displaystyle\int \dfrac{{\mathrm{e}}^{x}}{\sqrt{{\mathrm{e}}^{2x}-1}}\, \mathrm d x $$ | 1 |
| 6710 | $$ \displaystyle\int \sqrt(5){\tan\left(2x\right)}\, \mathrm d x $$ | 1 |
| 6711 | $$ \displaystyle\int^{2}_{0} \dfrac{2x}{4{x}^{2}+1}\, \mathrm d x $$ | 1 |
| 6712 | $$ $$ | 1 |
| 6713 | $$ $$ | 1 |
| 6714 | $$ \displaystyle\int \dfrac{{x}^{2}}{1}+9{x}^{2}\, \mathrm d x $$ | 1 |
| 6715 | $$ \displaystyle\int \dfrac{{x}^{2}}{1+9{x}^{2}}\, \mathrm d x $$ | 1 |
| 6716 | $$ \displaystyle\int 3{x}^{2}-5x+4\, \mathrm d x $$ | 1 |
| 6717 | $$ \displaystyle\int^{\pi/2}_{0} \sin\left(x\right){\cdot}\ln\left(\sin\left(x\right)-\cos\left(x\right)\right)\, \mathrm d x $$ | 1 |
| 6718 | $$ \displaystyle\int^{\infty}_{0} {\mathrm{e}}^{-{x}^{4}}\, \mathrm d x $$ | 1 |
| 6719 | $$ \displaystyle\int {\mathrm{e}}^{2}\, \mathrm d x $$ | 1 |
| 6720 | $$ \int \frac{{1}}{{x}} \, d\,x $$ | 1 |
| 6721 | $$ \displaystyle\int {\left(\sin\left(x\right)\right)}^{-1}\, \mathrm d x $$ | 1 |
| 6722 | $$ \displaystyle\int^{0.4}_{0.2} 6x{\cdot}{\left(3+x\right)}^{-2}\, \mathrm d x $$ | 1 |
| 6723 | $$ \displaystyle\int \sqrt{1+{\left(4{\mathrm{e}}^{4x}\right)}^{2}}\, \mathrm d x $$ | 1 |
| 6724 | $$ \displaystyle\int^{0173}_{0} \sqrt{1+{\left(4{\mathrm{e}}^{4x}\right)}^{2}}\, \mathrm d x $$ | 1 |
| 6725 | $$ \displaystyle\int^{0.173}_{0} \sqrt{1+{\left(4{\mathrm{e}}^{4x}\right)}^{2}}\, \mathrm d x $$ | 1 |
| 6726 | $$ \displaystyle\int r{\cdot}\sqrt{16-{r}^{2}}\, \mathrm d x $$ | 1 |
| 6727 | $$ \displaystyle\int \dfrac{\sin\left(2\right){\cdot}x}{{\mathrm{e}}^{x}}\, \mathrm d x $$ | 1 |
| 6728 | $$ \int {x}^{{3}}-{3}{x}+\frac{{2}}{{{x}^{{3}}+{6}}}{\left({x}^{{2}}-{3}{x}+{2}\right)} \, d\,x $$ | 1 |
| 6729 | $$ \displaystyle\int 3tsqr{\cdot}{\left(\sqrt{t}\right)}^{3}+2\, \mathrm d x $$ | 1 |
| 6730 | $$ \displaystyle\int \ln\left({x}^{2}+1\right)-\ln\left(x\right)\, \mathrm d x $$ | 1 |
| 6731 | $$ \displaystyle\int \dfrac{{x}^{2}}{{x}^{2}-x+1}\, \mathrm d x $$ | 1 |
| 6732 | $$ \int^{\infty}_{0} \frac{{{2}{x}+{8}}}{{\left({\left({x}+{4}\right)}^{{2}}+{1}\right)}^{{2}}} \, d\,x $$ | 1 |
| 6733 | $$ \int \frac{{{2}{x}+{8}}}{{\left({\left({x}+{4}\right)}^{{2}}+{1}\right)}^{{2}}} \, d\,x $$ | 1 |
| 6734 | $$ \displaystyle\int^{3}_{-3} {\left(4-\dfrac{x}{4}\right)}^{2}-{2}^{2}\, \mathrm d x $$ | 1 |
| 6735 | $$ \displaystyle\int^{\pi/2}_{0} {\left(\cos\left(x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 6736 | $$ $$ | 1 |
| 6737 | $$ $$ | 1 |
| 6738 | $$ \displaystyle\int \dfrac{\sqrt{x}}{{x}^{3}+x}\, \mathrm d x $$ | 1 |
| 6739 | $$ \displaystyle\int^{5}_{1} \ln\left(x\right)\, \mathrm d x $$ | 1 |
| 6740 | $$ \int {4}{x}-{9} \, d\,x $$ | 1 |
| 6741 | $$ \displaystyle\int^{9}_{1} \sqrt{x}\, \mathrm d x $$ | 1 |
| 6742 | $$ \int {10}{x}^{{3}}-{5}{x}\sqrt{{x}}^{{4}}-{x}^{{2}}+{6} \, d\,x $$ | 1 |
| 6743 | $$ \displaystyle\int^{3}_{2} x{\cdot}\sqrt{x}-2\, \mathrm d x $$ | 1 |
| 6744 | $$ \displaystyle\int^{3}_{1} 2{\pi}{\cdot}\sqrt{1+{\left(\dfrac{{x}^{5}}{4}+{x}^{7}\right)}^{2}}{\cdot}x\, \mathrm d x $$ | 1 |
| 6745 | $$ \displaystyle\int^{0}_{2\pi} 5+5{\cdot}\cos\left(x\right)\, \mathrm d x $$ | 1 |
| 6746 | $$ \displaystyle\int 5+5{\cdot}\cos\left(x\right)\, \mathrm d x $$ | 1 |
| 6747 | $$ \displaystyle\int^{0}_{1} 10x{\cdot}{\mathrm{e}}^{3x}\, \mathrm d x $$ | 1 |
| 6748 | $$ \displaystyle\int^{1}_{0} 10x{\cdot}{\mathrm{e}}^{3x}\, \mathrm d x $$ | 1 |
| 6749 | $$ \displaystyle\int^{5}_{0} {x}^{3}{\cdot}\sqrt{{x}^{2}+25}\, \mathrm d x $$ | 1 |
| 6750 | $$ \displaystyle\int 20{n}^{3}-9{n}^{2}-18n+4\, \mathrm d x $$ | 1 |
