Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 2701 | $$ \displaystyle\int \dfrac{3{x}^{4}-2{x}^{3}+2{x}^{2}-1}{{x}^{2}}\, \mathrm d x $$ | 1 |
| 2702 | $$ \displaystyle\int^{2}_{1} \dfrac{3{x}^{4}-2{x}^{3}+2{x}^{2}-1}{{x}^{2}}\, \mathrm d x $$ | 1 |
| 2703 | $$ \displaystyle\int \dfrac{{x}^{2}}{\sqrt{{x}^{2}+15}}\, \mathrm d x $$ | 1 |
| 2704 | $$ \int^{4}_{1} {2}{x}+{3} \, d\,x $$ | 1 |
| 2705 | $$ \displaystyle\int^{3}_{1} \dfrac{1}{4}{\cdot}{\left(x-1\right)}^{3}\, \mathrm d x $$ | 1 |
| 2706 | $$ \displaystyle\int \dfrac{1}{\left(x+3\right){\cdot}\sqrt{x}+4}\, \mathrm d x $$ | 1 |
| 2707 | $$ \displaystyle\int^{1}_{0} {\left(1-{x}^{4}\right)}^{\frac{1}{2}}\, \mathrm d x $$ | 1 |
| 2708 | $$ \displaystyle\int \dfrac{1}{\sqrt{{\mathrm{e}}^{2x}}-3}\, \mathrm d x $$ | 1 |
| 2709 | $$ \displaystyle\int \dfrac{2x+1}{2{x}^{2}+4x-3}\, \mathrm d x $$ | 1 |
| 2710 | $$ \displaystyle\int \dfrac{x+3}{{x}^{2}+4x+3}\, \mathrm d x $$ | 1 |
| 2711 | $$ \displaystyle\int \dfrac{2xarc{\cdot}{\left(\tan\left(x\right)\right)}^{2}}{1+{x}^{4}}\, \mathrm d x $$ | 1 |
| 2712 | $$ \displaystyle\int \dfrac{2x{\cdot}{\left(\arctan\left(x\right)\right)}^{2}}{1+{x}^{4}}\, \mathrm d x $$ | 1 |
| 2713 | $$ \displaystyle\int \dfrac{1}{{x}^{3}+{x}^{2}+x+1}\, \mathrm d x $$ | 1 |
| 2714 | $$ $$ | 1 |
| 2715 | $$ $$ | 1 |
| 2716 | $$ $$ | 1 |
| 2717 | $$ \int {e}^{{x}} \, d\,x $$ | 1 |
| 2718 | $$ \int^{e}_{e^2} {e}^{{x}}{\left({\ln{{\left({x}\right)}}}+\frac{{1}}{{x}^{{2}}}\right)} \, d\,x $$ | 1 |
| 2719 | $$ \int^{e^2}_{e} {e}^{{x}}{\left({\ln{{\left({x}\right)}}}+\frac{{1}}{{x}^{{2}}}\right)} \, d\,x $$ | 1 |
| 2720 | $$ \displaystyle\int {x}^{2}{\cdot}\sqrt{2{x}^{3}-3}\, \mathrm d x $$ | 1 |
| 2721 | $$ \displaystyle\int \sqrt{1+{\left(1x\right)}^{2}}\, \mathrm d x $$ | 1 |
| 2722 | $$ \displaystyle\int \sqrt{3x+1}\, \mathrm d x $$ | 1 |
| 2723 | $$ \displaystyle\int x{\cdot}\sqrt{1+{x}^{2}}\, \mathrm d x $$ | 1 |
| 2724 | $$ \displaystyle\int \sqrt{\dfrac{1}{{\left(\sin\left(x\right)\right)}^{3}}}\, \mathrm d x $$ | 1 |
| 2725 | $$ \displaystyle\int \dfrac{1}{{\left(\sin\left(x\right)\right)}^{3}}\, \mathrm d x $$ | 1 |
| 2726 | $$ \displaystyle\int^{3}_{0} \dfrac{x{\cdot}{\mathrm{e}}^{x}}{{\left(1+x\right)}^{2}}\, \mathrm d x $$ | 1 |
| 2727 | $$ \displaystyle\int \dfrac{x+3}{{x}^{2}+2x-5}\, \mathrm d x $$ | 1 |
| 2728 | $$ \displaystyle\int \sqrt{{a}^{2}-{x}^{2}}\, \mathrm d x $$ | 1 |
| 2729 | $$ \displaystyle\int \dfrac{1}{\sqrt{1-{x}^{2}}}\, \mathrm d x $$ | 1 |
| 2730 | $$ $$ | 1 |
| 2731 | $$ \displaystyle\int^{1}_{----1} 6-{x}^{2}\, \mathrm d x $$ | 1 |
| 2732 | $$ \displaystyle\int^{2}_{----1} 6-{x}^{2}\, \mathrm d x $$ | 1 |
| 2733 | $$ \displaystyle\int \dfrac{1}{x{\cdot}{\left({x}^{2}+1\right)}^{\frac{1}{2}}}\, \mathrm d x $$ | 1 |
| 2734 | $$ \displaystyle\int 6000{\cdot}\left(1-\dfrac{4x}{3}\right)\, \mathrm d x $$ | 1 |
| 2735 | $$ \displaystyle\int^{0.75}_{0} 6000{\cdot}\left(1-\dfrac{4x}{3}\right)\, \mathrm d x $$ | 1 |
| 2736 | $$ \displaystyle\int \dfrac{4}{3-8{x}^{2}}\, \mathrm d x $$ | 1 |
| 2737 | $$ \displaystyle\int 5{x}^{7}\, \mathrm d x $$ | 1 |
| 2738 | $$ $$ | 1 |
| 2739 | $$ \displaystyle\int {\left(\tan\left(2\right){\cdot}x+\sec\left(2\right){\cdot}x\right)}^{3}\, \mathrm d x $$ | 1 |
| 2740 | $$ \displaystyle\int {\left(\tan\left(2x\right)+\sec\left(2x\right)\right)}^{3}\, \mathrm d x $$ | 1 |
| 2741 | $$ \displaystyle\int^{2}_{0} 5{\mathrm{e}}^{-20}\, \mathrm d x $$ | 1 |
| 2742 | $$ \displaystyle\int 5{\mathrm{e}}^{-20}\, \mathrm d x $$ | 1 |
| 2743 | $$ \displaystyle\int^{0}_{--\pi} \sin\left(x\right)\, \mathrm d x $$ | 1 |
| 2744 | $$ \displaystyle\int \dfrac{20x+15}{{x}^{2}+4x+3}\, \mathrm d x $$ | 1 |
| 2745 | $$ \displaystyle\int^{1}_{e} \dfrac{1}{x{\cdot}\ln\left(2x+4\right)}\, \mathrm d x $$ | 1 |
| 2746 | $$ \displaystyle\int^{1}_{e} {x}^{-1}{\cdot}{\left(\ln\left(2x+4\right)\right)}^{-1}\, \mathrm d x $$ | 1 |
| 2747 | $$ \displaystyle\int \dfrac{2+x}{x{\cdot}\sqrt{{x}^{4}{\cdot}{\mathrm{e}}^{2x}-1}}\, \mathrm d x $$ | 1 |
| 2748 | $$ \displaystyle\int \dfrac{1}{5000+250x}\, \mathrm d x $$ | 1 |
| 2749 | $$ \displaystyle\int {\mathrm{e}}^{-{x}^{2}}{\cdot}\sqrt{1+16{x}^{2}}{\cdot}\arcsin\left(x\right){\cdot}\sin\left(\dfrac{x+2{\cdot}\arctan\left(4x\right)}{2}\right)\, \mathrm d x $$ | 1 |
| 2750 | $$ \displaystyle\int \dfrac{3{x}^{2}+4{\cdot}\sqrt{x}}{\sqrt{x}}\, \mathrm d x $$ | 1 |
