Integrals

(the database of solved problems)

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

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