Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 2601 | $$ \displaystyle\int^{1}_{2} \dfrac{1}{2x+3}\, \mathrm d x $$ | 1 |
| 2602 | $$ \displaystyle\int \dfrac{1}{-x+7-7{\cdot}\mathrm{e}^{-ltx}}\, \mathrm d x $$ | 1 |
| 2603 | $$ \int \frac{{2}}{\sqrt{{1}}}-{x} \, d\,x $$ | 1 |
| 2604 | $$ \displaystyle\int 4x+1\, \mathrm d x $$ | 1 |
| 2605 | $$ \int {\cot{{\left({3}{x}\right)}}} \, d\,x $$ | 1 |
| 2606 | $$ \displaystyle\int^{\infty}_{1} \dfrac{1}{{x}^{3}+4}\, \mathrm d x $$ | 1 |
| 2607 | $$ \displaystyle\int^{\infty}_{1} \dfrac{x}{{x}^{3}+1}\, \mathrm d x $$ | 1 |
| 2608 | $$ \displaystyle\int \dfrac{1}{{\left(\sqrt{1-{x}^{2}}\right)}^{3}}\, \mathrm d x $$ | 1 |
| 2609 | $$ \displaystyle\int^{1}_{0} {\pi}{\cdot}x\, \mathrm d x $$ | 1 |
| 2610 | $$ \displaystyle\int^{4}_{0} {\pi}{\cdot}\left({\left(2+(\sqrt{x+4})\right)}^{2}-{\left(2-(\sqrt{x+4})\right)}^{2}\right)\, \mathrm d x $$ | 1 |
| 2611 | $$ \displaystyle\int^{4}_{0} 2{\pi}{\cdot}\left({\left(2+sq{\cdot}\sqrt{t}{\cdot}\left(x+4\right)\right)}^{2}-{\left(2-sq{\cdot}\sqrt{t}{\cdot}\left(x+4\right)\right)}^{2}\right)\, \mathrm d x $$ | 1 |
| 2612 | $$ \displaystyle\int^{4}_{0} 2{\pi}{\cdot}\left({\left(2+(\sqrt{x+4})\right)}^{2}-{\left(2-(\sqrt{x+4})\right)}^{2}\right)\, \mathrm d x $$ | 1 |
| 2613 | $$ $$ | 1 |
| 2614 | $$ $$ | 1 |
| 2615 | $$ \displaystyle\int x{\cdot}{\left(x-2\right)}^{\frac{1}{2}}\, \mathrm d x $$ | 1 |
| 2616 | $$ \displaystyle\int \dfrac{5{x}^{6}-\sqrt{x}}{{x}^{6}}\, \mathrm d x $$ | 1 |
| 2617 | $$ \displaystyle\int \dfrac{1}{5-4{x}^{2}}\, \mathrm d x $$ | 1 |
| 2618 | $$ \displaystyle\int {x}^{5}{\cdot}\cos\left({x}^{2}\right)\, \mathrm d x $$ | 1 |
| 2619 | $$ \displaystyle\int \dfrac{x+2}{\sqrt{4-{x}^{2}}}\, \mathrm d x $$ | 1 |
| 2620 | $$ \displaystyle\int \dfrac{{x}^{3}}{{x}^{2}+4}\, \mathrm d x $$ | 1 |
| 2621 | $$ \displaystyle\int {\left(\sec\left(x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 2622 | $$ \displaystyle\int {\left(\sin\left({\pi}\right){\cdot}x\right)}^{2}{\cdot}{\left(\cos\left({\pi}\right){\cdot}x\right)}^{5}\, \mathrm d x $$ | 1 |
| 2623 | $$ \displaystyle\int {\left(\sin\left({\pi}{\cdot}x\right)\right)}^{2}{\cdot}{\left(\cos\left({\pi}{\cdot}x\right)\right)}^{5}\, \mathrm d x $$ | 1 |
| 2624 | $$ \displaystyle\int {\mathrm{e}}^{-\cot\left(3x\right){\cdot}\sec\left(3x\right)}{\cdot}\sec\left(3x\right){\cdot}\cot\left(3x\right)\, \mathrm d x $$ | 1 |
| 2625 | $$ \displaystyle\int {\mathrm{e}}^{-\cot\left(3x\right){\cdot}\csc\left(3x\right)}{\cdot}\csc\left(3x\right){\cdot}\cot\left(3x\right)\, \mathrm d x $$ | 1 |
| 2626 | $$ \int \pi\pi\pi{\exp{{\left({4}\pi\right)}}} \, d\,x $$ | 1 |
| 2627 | $$ $$ | 1 |
| 2628 | $$ $$ | 1 |
| 2629 | $$ $$ | 1 |
| 2630 | $$ $$ | 1 |
| 2631 | $$ $$ | 1 |
| 2632 | $$ $$ | 1 |
| 2633 | $$ \displaystyle\int \dfrac{1}{9+16{x}^{2}}\, \mathrm d x $$ | 1 |
| 2634 | $$ \displaystyle\int \dfrac{4}{25+16{x}^{2}}\, \mathrm d x $$ | 1 |
| 2635 | $$ \displaystyle\int \dfrac{2x}{{\left(25-{x}^{2}\right)}^{\frac{1}{2}}}\, \mathrm d x $$ | 1 |
| 2636 | $$ \displaystyle\int 3x{\cdot}\cos\left(x\right)\, \mathrm d x $$ | 1 |
| 2637 | $$ \displaystyle\int^{1}_{0} \dfrac{x}{{\mathrm{e}}^{x}+xx}\, \mathrm d x $$ | 1 |
| 2638 | $$ \displaystyle\int x{\cdot}\cos\left(2x\right)\, \mathrm d x $$ | 1 |
| 2639 | $$ \displaystyle\int^{8}_{0} t{\cdot}\sqrt{t+1}\, \mathrm d x $$ | 1 |
| 2640 | $$ \displaystyle\int^{4}_{2} \dfrac{x{\cdot}{\left(x-2\right)}^{1}}{2}\, \mathrm d x $$ | 1 |
| 2641 | $$ \displaystyle\int^{4}_{2} x{\cdot}{\left(x-2\right)}^{\frac{1}{2}}\, \mathrm d x $$ | 1 |
| 2642 | $$ \displaystyle\int \dfrac{\sin\left(x\right)}{x}\, \mathrm d x $$ | 1 |
| 2643 | $$ \displaystyle\int^{8}_{0} \dfrac{x}{x+1}\, \mathrm d x $$ | 1 |
| 2644 | $$ \displaystyle\int \dfrac{x}{x+1}\, \mathrm d x $$ | 1 |
| 2645 | $$ \displaystyle\int \dfrac{1}{\tan\left(x\right)}\, \mathrm d x $$ | 1 |
| 2646 | $$ \displaystyle\int \dfrac{351}{\sqrt{3-51{x}^{2}}}\, \mathrm d x $$ | 1 |
| 2647 | $$ \displaystyle\int 3{\cdot}\sqrt{1-\dfrac{{x}^{2}}{4}}\, \mathrm d x $$ | 1 |
| 2648 | $$ \displaystyle\int^{2}_{----2} 3sq{\cdot}\sqrt{t}{\cdot}\left(1-\dfrac{{x}^{2}}{4}\right)\, \mathrm d x $$ | 1 |
| 2649 | $$ \displaystyle\int^{2}_{----2} 3sqsq{\cdot}\sqrt{t}{\cdot}t{\cdot}\left(1-\dfrac{{x}^{2}}{4}\right)\, \mathrm d x $$ | 1 |
| 2650 | $$ \displaystyle\int \dfrac{\cos\left(x\right)}{\sin\left(x\right)}\, \mathrm d x $$ | 1 |
