Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 2751 | $$ \displaystyle\int \sqrt{{a}^{2}-{x}^{2}}\, \mathrm d x $$ | 1 |
| 2752 | $$ \displaystyle\int \dfrac{1}{\sqrt{1-{x}^{2}}}\, \mathrm d x $$ | 1 |
| 2753 | $$ $$ | 1 |
| 2754 | $$ \displaystyle\int^{1}_{----1} 6-{x}^{2}\, \mathrm d x $$ | 1 |
| 2755 | $$ \displaystyle\int^{2}_{----1} 6-{x}^{2}\, \mathrm d x $$ | 1 |
| 2756 | $$ \displaystyle\int \dfrac{1}{x{\cdot}{\left({x}^{2}+1\right)}^{\frac{1}{2}}}\, \mathrm d x $$ | 1 |
| 2757 | $$ \displaystyle\int 6000{\cdot}\left(1-\dfrac{4x}{3}\right)\, \mathrm d x $$ | 1 |
| 2758 | $$ \displaystyle\int^{0.75}_{0} 6000{\cdot}\left(1-\dfrac{4x}{3}\right)\, \mathrm d x $$ | 1 |
| 2759 | $$ \displaystyle\int \dfrac{4}{3-8{x}^{2}}\, \mathrm d x $$ | 1 |
| 2760 | $$ \displaystyle\int 5{x}^{7}\, \mathrm d x $$ | 1 |
| 2761 | $$ $$ | 1 |
| 2762 | $$ \displaystyle\int {\left(\tan\left(2\right){\cdot}x+\sec\left(2\right){\cdot}x\right)}^{3}\, \mathrm d x $$ | 1 |
| 2763 | $$ \displaystyle\int {\left(\tan\left(2x\right)+\sec\left(2x\right)\right)}^{3}\, \mathrm d x $$ | 1 |
| 2764 | $$ \displaystyle\int^{2}_{0} 5{\mathrm{e}}^{-20}\, \mathrm d x $$ | 1 |
| 2765 | $$ \displaystyle\int 5{\mathrm{e}}^{-20}\, \mathrm d x $$ | 1 |
| 2766 | $$ \displaystyle\int^{0}_{--\pi} \sin\left(x\right)\, \mathrm d x $$ | 1 |
| 2767 | $$ \displaystyle\int \dfrac{20x+15}{{x}^{2}+4x+3}\, \mathrm d x $$ | 1 |
| 2768 | $$ \displaystyle\int^{1}_{e} \dfrac{1}{x{\cdot}\ln\left(2x+4\right)}\, \mathrm d x $$ | 1 |
| 2769 | $$ \displaystyle\int^{1}_{e} {x}^{-1}{\cdot}{\left(\ln\left(2x+4\right)\right)}^{-1}\, \mathrm d x $$ | 1 |
| 2770 | $$ \displaystyle\int \dfrac{2+x}{x{\cdot}\sqrt{{x}^{4}{\cdot}{\mathrm{e}}^{2x}-1}}\, \mathrm d x $$ | 1 |
| 2771 | $$ \displaystyle\int \dfrac{1}{5000+250x}\, \mathrm d x $$ | 1 |
| 2772 | $$ \displaystyle\int {\mathrm{e}}^{-{x}^{2}}{\cdot}\sqrt{1+16{x}^{2}}{\cdot}\arcsin\left(x\right){\cdot}\sin\left(\dfrac{x+2{\cdot}\arctan\left(4x\right)}{2}\right)\, \mathrm d x $$ | 1 |
| 2773 | $$ \displaystyle\int \dfrac{3{x}^{2}+4{\cdot}\sqrt{x}}{\sqrt{x}}\, \mathrm d x $$ | 1 |
| 2774 | $$ \displaystyle\int^{\infty}_{2} \dfrac{1}{{x}^{2}+6x-7}\, \mathrm d x $$ | 1 |
| 2775 | $$ \displaystyle\int \dfrac{-10+10{x}^{3}}{x}\, \mathrm d x $$ | 1 |
| 2776 | $$ $$ | 1 |
| 2777 | $$ $$ | 1 |
| 2778 | $$ $$ | 1 |
| 2779 | $$ $$ | 1 |
| 2780 | $$ $$ | 1 |
| 2781 | $$ $$ | 1 |
| 2782 | $$ $$ | 1 |
| 2783 | $$ $$ | 1 |
| 2784 | $$ $$ | 1 |
| 2785 | $$ $$ | 1 |
| 2786 | $$ $$ | 1 |
| 2787 | $$ \displaystyle\int {\left({\mathrm{e}}^{x}\right)}^{2}\, \mathrm d x $$ | 1 |
| 2788 | $$ \displaystyle\int {x}^{2}{x}^{3}\, \mathrm d x $$ | 1 |
| 2789 | $$ \displaystyle\int^{8}_{3} {x}^{3}\, \mathrm d x $$ | 1 |
| 2790 | $$ \displaystyle\int {x}^{3}\, \mathrm d x $$ | 1 |
| 2791 | $$ \displaystyle\int^{2}_{1} {x}^{3}\, \mathrm d x $$ | 1 |
| 2792 | $$ \displaystyle\int -\cos\left(x\right){\cdot}\ln\left(x\right)\, \mathrm d x $$ | 1 |
| 2793 | $$ \displaystyle\int^{ 1.414}_{0} \sqrt{4{t}^{2}+1}\, \mathrm d x $$ | 1 |
| 2794 | $$ \displaystyle\int^{ 1.414}_{0} sq{\cdot}\sqrt{4{t}^{2}+1}\, \mathrm d x $$ | 1 |
| 2795 | $$ \displaystyle\int^{ 1.414}_{0} sqsq{\cdot}\sqrt{t}{\cdot}\left(4{x}^{2}+1\right)\, \mathrm d x $$ | 1 |
| 2796 | $$ \displaystyle\int^{ 1.414}_{0} \sqrt{4{x}^{2}+1}\, \mathrm d x $$ | 1 |
| 2797 | $$ \displaystyle\int^{ 1.414}_{0} \sqrt{4{x}^{2}+1}\, \mathrm d x $$ | 1 |
| 2798 | $$ \int \frac{{1}}{{{\sin{{\left({x}\right)}}}^{{2}}}} \, d\,x $$ | 1 |
| 2799 | $$ \int \frac{{1}}{{\sin{{\left({x}\right)}}}} \, d\,x $$ | 1 |
| 2800 | $$ $$ | 1 |
