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	$$ \displaystyle\int 3{x}^{2}+4x\, \mathrm d x $$	2
1602	$$ \displaystyle\int 2{\cdot}\sin\left(x\right){\cdot}\sqrt{2{\cdot}{\left(\sin\left(x\right)\right)}^{2}+3{\cdot}{\left(\cos\left(x\right)\right)}^{2}}\, \mathrm d x $$	2
1603	$$ \displaystyle\int^{2}_{1} {\left({x}^{2}+2\right)}^{\frac{3}{2}}{\cdot}\left({x}^{2}+1\right)\, \mathrm d x $$	2
1604	$$ \int {x}\cdot{\ln{{\left(-{x}^{{2}}\right)}}} \, d\,x $$	2
1605	$$ \displaystyle\int^{1}_{0} 6x{\cdot}{\left(1-{x}^{2}\right)}^{2}\, \mathrm d x $$	2
1606	$$ \displaystyle\int -\ln\left(3-x\right)\, \mathrm d x $$	2
1607	$$ \displaystyle\int^{0.01}_{0} \dfrac{50000-\left(2500-2x\right){\cdot}10}{2500-2x}\, \mathrm d x $$	2
1608	$$ \displaystyle\int {x}^{2}+1\, \mathrm d x $$	2
1609	$$ $$	2
1610	$$ $$	2
1611	$$ $$	2
1612	$$ $$	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	$$ \displaystyle\int {\mathrm{e}}^{x}\, \mathrm d x $$	2
1627	$$ \displaystyle\int {\mathrm{e}}^{x}{\cdot}\sin\left(x\right){\cdot}\cos\left(x\right){\cdot}{x}^{2}\, \mathrm d x $$	2
1628	$$ $$	2
1629	$$ $$	2
1630	$$ $$	2
1631	$$ $$	2
1632	$$ $$	2
1633	$$ $$	2
1634	$$ $$	2
1635	$$ $$	2
1636	$$ $$	2
1637	$$ $$	2
1638	$$ $$	2
1639	$$ $$	2
1640	$$ $$	2
1641	$$ \displaystyle\int^{6}_{4} 3{x}^{2}-12x-15\, \mathrm d x $$	2
1642	$$ \displaystyle\int^{\pi}_{0} 18{\pi}{\cdot}\left(4-x\right){\cdot}\sqrt{\sin\left(x\right)}\, \mathrm d x $$	2
1643	$$ \displaystyle\int \dfrac{1}{{x}^{2}{\cdot}{\left(1-x\right)}^{5}}\, \mathrm d x $$	2
1644	$$ $$	2
1645	$$ $$	2
1646	$$ $$	2
1647	$$ \displaystyle\int \dfrac{7{\mathrm{e}}^{x}-2}{{\left({\mathrm{e}}^{x}-2\right)}^{2}}\, \mathrm d x $$	2
1648	$$ \displaystyle\int \dfrac{15}{x}\, \mathrm d x $$	2
1649	$$ \displaystyle\int x-1\, \mathrm d x $$	2
1650	$$ $$	2