Integrals

(the database of solved problems)

All the problems and solutions shown below were generated using the Integral Calculator.

Select category

ID	Problem	Count
1401	$$ $$	2
1402	$$ $$	2
1403	$$ $$	2
1404	$$ \displaystyle\int^{e}_{1} \dfrac{\ln\left(1+\dfrac{1}{x}\right)}{\sin\left(\dfrac{3}{x}\right)}\, \mathrm d x $$	2
1405	$$ $$	2
1406	$$ $$	2
1407	$$ $$	2
1408	$$ \displaystyle\int^{2}_{0} \dfrac{{x}^{3}}{{x}^{2}+1}\, \mathrm d x $$	2
1409	$$ $$	2
1410	$$ $$	2
1411	$$ $$	2
1412	$$ $$	2
1413	$$ \displaystyle\int \dfrac{1}{\sqrt{{\mathrm{e}}^{2x}+{\mathrm{e}}^{x}+1}}\, \mathrm d x $$	2
1414	$$ \displaystyle\int \dfrac{5}{{x}^{3}}\, \mathrm d x $$	2
1415	$$ \displaystyle\int^{\pi}_{0} {2}^{2}-{\left(2-2{\cdot}\sin\left(x\right)\right)}^{2}\, \mathrm d x $$	2
1416	$$ \displaystyle\int^{-\pi}_{0} {2}^{2}-{\left(2-2{\cdot}\sin\left(x\right)\right)}^{2}\, \mathrm d x $$	2
1417	$$ \displaystyle\int^{2\pi}_{\pi} {2}^{2}-{\left(2-2{\cdot}\sin\left(x\right)\right)}^{2}\, \mathrm d x $$	2
1418	$$ \displaystyle\int^{0}_{9} \sqrt{4-\sqrt{x}}\, \mathrm d x $$	2
1419	$$ \displaystyle\int^{9}_{0} \sqrt{4-\sqrt{x}}\, \mathrm d x $$	2
1420	$$ \displaystyle\int \dfrac{\sqrt{16}-{x}^{2}}{x}\, \mathrm d x $$	2
1421	$$ \displaystyle\int^{2}_{0} {x}^{2}{\cdot}\sqrt{8-{x}^{2}}\, \mathrm d x $$	2
1422	$$ \displaystyle\int^{1}_{0} \sqrt{\sqrt{x}-x}\, \mathrm d x $$	2
1423	$$ $$	2
1424	$$ $$	2
1425	$$ $$	2
1426	$$ $$	2
1427	$$ $$	2
1428	$$ \displaystyle\int^{3.52}_{0} \dfrac{1}{2{\pi}}{\cdot}{\left(3.88{\cdot}\sin\left(x-23.72\right)+89.38{\mathrm{e}}^{\frac{-x}{25.21}}\right)}^{2}\, \mathrm d x $$	2
1429	$$ \displaystyle\int \sqrt{x}{\cdot}\color{orangered}{\square}\, \mathrm d x $$	2
1430	$$ \displaystyle\int^{3}_{-6} 3-\dfrac{{x}^{2}}{4}-x\, \mathrm d x $$	2
1431	$$ $$	2
1432	$$ $$	2
1433	$$ $$	2
1434	$$ $$	2
1435	$$ \displaystyle\int \dfrac{x}{{x}^{3}+1}\, \mathrm d x $$	2
1436	$$ $$	2
1437	$$ $$	2
1438	$$ $$	2
1439	$$ $$	2
1440	$$ \displaystyle\int^{11}_{2} x-\sqrt{11}\, \mathrm d x $$	2
1441	$$ $$	2
1442	$$ $$	2
1443	$$ $$	2
1444	$$ $$	2
1445	$$ $$	2
1446	$$ $$	2
1447	$$ $$	2
1448	$$ $$	2
1449	$$ $$	2
1450	$$ $$	2