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
1601	$$ \displaystyle\int^{\pi}_{0} {\mathrm{e}}^{-x}{\cdot}\cos\left(n\right){\cdot}x\, \mathrm d x $$	2
1602	$$ $$	2
1603	$$ $$	2
1604	$$ $$	2
1605	$$ \displaystyle\int^{1}_{0} x\, \mathrm d x $$	2
1606	$$ \displaystyle\int^{2}_{-2} {x}^{2}+4x+6\, \mathrm d x $$	2
1607	$$ \displaystyle\int \left(2{x}^{2}+2x\right){\cdot}\left({x}^{4}-x\right)\, \mathrm d x $$	2
1608	$$ \displaystyle\int \left(2-x\right){\cdot}\left(3x-2{x}^{2}\right)\, \mathrm d x $$	2
1609	$$ \displaystyle\int \left(2-x\right){\cdot}\left(3x-2{x}^{4}\right)\, \mathrm d x $$	2
1610	$$ \displaystyle\int \left(3{x}^{3}-2x\right){\cdot}\left(3{x}^{3}-2{x}^{4}\right)\, \mathrm d x $$	2
1611	$$ \displaystyle\int -\sec\left(x\right){\cdot}\tan\left(x\right)-\cos\left(x\right)-\dfrac{2}{{x}^{3}}\, \mathrm d x $$	2
1612	$$ \displaystyle\int 2{\mathrm{e}}^{x}-1\, \mathrm d x $$	2
1613	$$ $$	2
1614	$$ $$	2
1615	$$ $$	2
1616	$$ $$	2
1617	$$ $$	2
1618	$$ $$	2
1619	$$ $$	2
1620	$$ $$	2
1621	$$ $$	2
1622	$$ $$	2
1623	$$ $$	2
1624	$$ $$	2
1625	$$ $$	2
1626	$$ $$	2
1627	$$ $$	2
1628	$$ \displaystyle\int {x}^{3}{\cdot}{\left(3+4{x}^{3}\right)}^{8}\, \mathrm d x $$	2
1629	$$ \displaystyle\int^{2}_{1} \left(1+4x\right){\cdot}{\mathrm{e}}^{x}\, \mathrm d x $$	2
1630	$$ \displaystyle\int \dfrac{1}{{x}^{3}-1}\, \mathrm d x $$	2
1631	$$ \displaystyle\int \sqrt{{x}^{7}+1}\, \mathrm d x $$	2
1632	$$ \displaystyle\int -3x\, \mathrm d x $$	2
1633	$$ \displaystyle\int {\mathrm{e}}^{-3}{\cdot}x\, \mathrm d x $$	2
1634	$$ \displaystyle\int^{2}_{0} \sqrt{1+\sin\left(\dfrac{x}{2}\right)}\, \mathrm d x $$	2
1635	$$ \displaystyle\int \cos\left(\color{orangered}{\square}\right)\, \mathrm d x $$	2
1636	$$ \displaystyle\int {\left(1-xx\right)}^{n}\, \mathrm d x $$	2
1637	$$ $$	2
1638	$$ \displaystyle\int \dfrac{{x}^{2}+2x+1}{{x}^{3}}\, \mathrm d x $$	2
1639	$$ $$	2
1640	$$ $$	2
1641	$$ $$	2
1642	$$ $$	2
1643	$$ $$	2
1644	$$ \displaystyle\int {x}^{2}{\cdot}{\left(x-2\right)}^{\frac{3}{2}}\, \mathrm d x $$	2
1645	$$ \displaystyle\int \dfrac{1}{\cos\left(x\right)}\, \mathrm d x $$	2
1646	$$ \displaystyle\int \dfrac{\cos\left(5x\right)}{{\mathrm{e}}^{x}}\, \mathrm d x $$	2
1647	$$ \displaystyle\int \dfrac{x}{{\mathrm{e}}^{2}}\, \mathrm d x $$	2
1648	$$ \displaystyle\int \dfrac{x}{{\mathrm{e}}^{2}}{\cdot}x\, \mathrm d x $$	2
1649	$$ \displaystyle\int \dfrac{20}{4-{x}^{0.5}}\, \mathrm d x $$	2
1650	$$ $$	2