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
1701	$$ \displaystyle\int^{4}_{0} 2{\cdot}\left(0.5x-\sqrt{x}\right){\cdot}x\, \mathrm d x $$	2
1702	$$ \displaystyle\int^{1}_{0} {\left(1-{x}^{2}\right)}^{2}-{\left(1-\sqrt{x}\right)}^{2}\, \mathrm d x $$	2
1703	$$ \displaystyle\int^{1}_{0} 2x{\cdot}\left(\sqrt{x}-{x}^{2}\right)\, \mathrm d x $$	2
1704	$$ \displaystyle\int^{1}_{0} 2x{\cdot}\left({x}^{2}-\sqrt{x}\right)\, \mathrm d x $$	2
1705	$$ \displaystyle\int^{1}_{0} 2x{\cdot}\left({x}^{2}-\sqrt{x}\right){\cdot}\left(\sqrt{x}-{x}^{2}\right)\, \mathrm d x $$	2
1706	$$ \displaystyle\int^{1}_{0} 2x{\cdot}\left(\sqrt{x}-{x}^{2}\right)\, \mathrm d x $$	2
1707	$$ \displaystyle\int^{1}_{0} 2{\cdot}{\left(\sqrt{x}-{x}^{2}\right)}^{2}\, \mathrm d x $$	2
1708	$$ \displaystyle\int^{1}_{0} 2{\cdot}\left(1-x\right){\cdot}\left(\sqrt{x}-{x}^{2}\right)\, \mathrm d x $$	2
1709	$$ \displaystyle\int {x}^{3}{\cdot}\sqrt{5{x}^{2}+4}\, \mathrm d x $$	2
1710	$$ \displaystyle\int {x}^{5}{\cdot}\sqrt{1+{x}^{2}}\, \mathrm d x $$	2
1711	$$ $$	2
1712	$$ \displaystyle\int {\mathrm{e}}^{-x}\, \mathrm d x $$	2
1713	$$ $$	2
1714	$$ \displaystyle\int \left({x}^{2}-4\right){\cdot}\left(2x+3\right)\, \mathrm d x $$	2
1715	$$ \displaystyle\int 1+x\, \mathrm d x $$	2
1716	$$ \displaystyle\int \dfrac{{x}^{3}}{\sqrt{1-{x}^{2}}}\, \mathrm d x $$	2
1717	$$ \displaystyle\int^{\infty}_{1} \dfrac{1}{{x}^{5}}\, \mathrm d x $$	2
1718	$$ \displaystyle\int^{2}_{0} x{\cdot}\left(1-x\right)\, \mathrm d x $$	2
1719	$$ \displaystyle\int^{2}_{0} x{\cdot}\left(4-3x\right)\, \mathrm d x $$	2
1720	$$ \displaystyle\int \dfrac{5}{{x}^{2}}-\dfrac{2}{{x}^{3}}\, \mathrm d x $$	2
1721	$$ \displaystyle\int \mathrm{arcsec}\left(3x\right)\, \mathrm d x $$	2
1722	$$ \displaystyle\int^{1}_{0} \dfrac{{\left(x-\dfrac{8}{15}\right)}^{2}{\cdot}2{\cdot}\left(x+2\right)}{5}\, \mathrm d x $$	2
1723	$$ $$	2
1724	$$ $$	2
1725	$$ $$	2
1726	$$ \displaystyle\int^{0}_{2} 3x{\cdot}{\mathrm{e}}^{x}\, \mathrm d x $$	2
1727	$$ \displaystyle\int^{2}_{0} 3x{\cdot}{\mathrm{e}}^{x}\, \mathrm d x $$	2
1728	$$ \displaystyle\int \dfrac{1}{\sqrt{x}-{x}^{\frac{3}{2}}}\, \mathrm d x $$	2
1729	$$ \displaystyle\int x{\cdot}\cos\left(x\right)+\sin\left(x\right)\, \mathrm d x $$	2
1730	$$ \displaystyle\int \dfrac{{x}^{4}}{\sqrt{{a}^{2}-{x}^{2}}}\, \mathrm d x $$	2
1731	$$ \displaystyle\int \dfrac{1}{x}{\cdot}\left(1+{x}^{2}\right)\, \mathrm d x $$	2
1732	$$ \displaystyle\int \dfrac{1}{{x}^{2}{\cdot}{\left({x}^{2}-1\right)}^{0.5}}\, \mathrm d x $$	2
1733	$$ \displaystyle\int^{\pi}_{0} \dfrac{x}{1+\sin\left(a\right){\cdot}\sin\left(x\right)}\, \mathrm d x $$	2
1734	$$ \displaystyle\int \dfrac{\left(x-3\right){\cdot}{\mathrm{e}}^{x}}{{\left(x-1\right)}^{3}}\, \mathrm d x $$	2
1735	$$ \displaystyle\int \sin\left(x-2\right)\, \mathrm d x $$	2
1736	$$ $$	2
1737	$$ $$	2
1738	$$ \displaystyle\int^{6}_{0} 3{x}^{2}-6x+3\, \mathrm d x $$	2
1739	$$ $$	2
1740	$$ \displaystyle\int \left(2x-12\right){\cdot}\left(4{x}^{2}-12x\right)\, \mathrm d x $$	2
1741	$$ \displaystyle\int 3{x}^{3}-2x+1\, \mathrm d x $$	2
1742	$$ $$	2
1743	$$ \displaystyle\int x{\cdot}\sqrt{1+16x}\, \mathrm d x $$	2
1744	$$ \displaystyle\int {x}^{3}{\cdot}\sin\left(7{x}^{2}\right)\, \mathrm d x $$	2
1745	$$ \displaystyle\int 3{x}^{3}{\cdot}{\left(\cos\left(x\right)\right)}^{2}\, \mathrm d x $$	2
1746	$$ \displaystyle\int 3{x}^{3}{\cdot}\cos\left({x}^{2}\right)\, \mathrm d x $$	2
1747	$$ \displaystyle\int \dfrac{2}{s}{\cdot}q{\cdot}\sqrt{t}{\cdot}\left(5x-6\right)\, \mathrm d x $$	2
1748	$$ \displaystyle\int^{10}_{4} \dfrac{0.25}{4+0.25x}\, \mathrm d x $$	2
1749	$$ $$	2
1750	$$ \displaystyle\int 0.767676767676767676767\, \mathrm d x $$	2