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
1851	$$ $$	2
1852	$$ $$	2
1853	$$ $$	2
1854	$$ $$	2
1855	$$ $$	2
1856	$$ $$	2
1857	$$ $$	2
1858	$$ \displaystyle\int {x}^{2}{\cdot}\sin\left(ax\right)\, \mathrm d x $$	2
1859	$$ \displaystyle\int \sin\left(x\right){\cdot}\sin\left(x\right){\cdot}\cos\left(x\right){\cdot}\cos\left(x\right){\cdot}\cos\left(x\right){\cdot}\cos\left(x\right){\cdot}\cos\left(x\right)\, \mathrm d x $$	2
1860	$$ \displaystyle\int {\left(\sin\left({\pi}{\cdot}x\right)\right)}^{2}{\cdot}{\left(\cos\left({\pi}{\cdot}x\right)\right)}^{5}\, \mathrm d x $$	2
1861	$$ $$	2
1862	$$ $$	2
1863	$$ $$	2
1864	$$ $$	2
1865	$$ $$	2
1866	$$ $$	2
1867	$$ $$	2
1868	$$ $$	2
1869	$$ $$	2
1870	$$ $$	2
1871	$$ $$	2
1872	$$ $$	2
1873	$$ $$	2
1874	$$ $$	2
1875	$$ $$	2
1876	$$ $$	2
1877	$$ $$	2
1878	$$ $$	2
1879	$$ \displaystyle\int \dfrac{32{x}^{2}+10}{{\left(4{x}^{2}+1\right)}^{2}}\, \mathrm d x $$	2
1880	$$ \displaystyle\int^{1}_{0} {\pi}{\cdot}{\left(2-x\right)}^{2}\, \mathrm d x $$	2
1881	$$ \displaystyle\int^{2}_{1} {\pi}{\cdot}{\left(2-x\right)}^{2}\, \mathrm d x $$	2
1882	$$ \displaystyle\int \dfrac{x}{\sqrt{9+{x}^{4}}}\, \mathrm d x $$	2
1883	$$ \displaystyle\int x{\cdot}\sqrt{2}\, \mathrm d x $$	2
1884	$$ \displaystyle\int x{\cdot}{\left(\sin\left(x\right)\right)}^{2}\, \mathrm d x $$	2
1885	$$ \displaystyle\int \dfrac{{\mathrm{e}}^{3x}}{9+{3}^{6x}}\, \mathrm d x $$	2
1886	$$ \displaystyle\int \dfrac{1}{x{\cdot}{\left(\ln\left(x\right)\right)}^{4}}\, \mathrm d x $$	2
1887	$$ $$	2
1888	$$ $$	2
1889	$$ $$	2
1890	$$ $$	2
1891	$$ $$	2
1892	$$ $$	2
1893	$$ $$	2
1894	$$ \displaystyle\int 3x\, \mathrm d x $$	2
1895	$$ \displaystyle\int \dfrac{1}{\sqrt{{x}^{2}+1}}\, \mathrm d x $$	2
1896	$$ \displaystyle\int \dfrac{{x}^{7}}{{\left({x}^{8}+32\right)}^{\frac{3}{5}}}\, \mathrm d x $$	2
1897	$$ \displaystyle\int \dfrac{3x+1}{2{x}^{2}-2x+3}\, \mathrm d x $$	2
1898	$$ \displaystyle\int \dfrac{\cos\left(x\right)}{\sqrt{2+\sin\left(x\right)}}\, \mathrm d x $$	2
1899	$$ \displaystyle\int \dfrac{1}{sq{\cdot}\sqrt{t}{\cdot}\left({a}^{2}-{x}^{2}\right)}\, \mathrm d x $$	2
1900	$$ \displaystyle\int \dfrac{1}{x{\cdot}\left({x}^{2}+1\right)}\, \mathrm d x $$	2