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
1651	$$ $$	2
1652	$$ $$	2
1653	$$ $$	2
1654	$$ $$	2
1655	$$ $$	2
1656	$$ \displaystyle\int {x}^{2}{\cdot}{\left(x-2\right)}^{\frac{3}{2}}\, \mathrm d x $$	2
1657	$$ \displaystyle\int \dfrac{1}{\cos\left(x\right)}\, \mathrm d x $$	2
1658	$$ \displaystyle\int \dfrac{\cos\left(5x\right)}{{\mathrm{e}}^{x}}\, \mathrm d x $$	2
1659	$$ \displaystyle\int \dfrac{x}{{\mathrm{e}}^{2}}\, \mathrm d x $$	2
1660	$$ \displaystyle\int \dfrac{x}{{\mathrm{e}}^{2}}{\cdot}x\, \mathrm d x $$	2
1661	$$ \displaystyle\int \dfrac{20}{4-{x}^{0.5}}\, \mathrm d x $$	2
1662	$$ $$	2
1663	$$ $$	2
1664	$$ $$	2
1665	$$ \displaystyle\int {\left(\sec\left(x\right)\right)}^{2}{\cdot}\tan\left(x\right)\, \mathrm d x $$	2
1666	$$ \displaystyle\int \dfrac{-12{x}^{3}}{\ln\left(1-x\right)}\, \mathrm d x $$	2
1667	$$ \displaystyle\int \dfrac{1}{\ln\left(1-p\right)}\, \mathrm d x $$	2
1668	$$ \displaystyle\int \dfrac{1}{\ln\left(1-x\right)}\, \mathrm d x $$	2
1669	$$ \displaystyle\int \dfrac{{p}^{4}}{\ln\left(1-x\right)}\, \mathrm d x $$	2
1670	$$ \displaystyle\int \mathrm{e}^{-ax}\, \mathrm d x $$	2
1671	$$ \displaystyle\int {\mathrm{e}}^{-1.22{\cdot}\cosh\left(x\right)}\, \mathrm d x $$	2
1672	$$ \displaystyle\int \sin\left(10x-50\right)\, \mathrm d x $$	2
1673	$$ \displaystyle\int \dfrac{6{x}^{2}-2}{{x}^{3}-x}\, \mathrm d x $$	2
1674	$$ \displaystyle\int \dfrac{a}{{x}^{2}+{a}^{2}}\, \mathrm d x $$	2
1675	$$ \int {x}^{{2}} \, d\,x $$	2
1676	$$ \displaystyle\int \dfrac{5+6{\cdot}\sin\left(x\right)}{\sin\left(x\right){\cdot}\left(4+3{\cdot}\cos\left(x\right)\right)}\, \mathrm d x $$	2
1677	$$ \displaystyle\int^{2}_{0} \dfrac{2+\cos\left(1+{x}^{1.5}\right)}{\sqrt{1+0.5{\cdot}\sin\left(x\right)}}\, \mathrm d x $$	2
1678	$$ \displaystyle\int^{\pi/4}_{0} \sqrt{1+\cos\left(4x\right)}\, \mathrm d x $$	2
1679	$$ $$	2
1680	$$ $$	2
1681	$$ $$	2
1682	$$ \displaystyle\int^{\pi/2}_{0} \cos\left(1-\tan\left(\color{orangered}{\square}\right)\right)\, \mathrm d x $$	2
1683	$$ \displaystyle\int \ln\left(x-1\right)\, \mathrm d x $$	2
1684	$$ \displaystyle\int \dfrac{1}{x{\cdot}\ln\left(x\right)}\, \mathrm d x $$	2
1685	$$ \displaystyle\int^{5/9}_{0} \sqrt{1-\dfrac{81x}{4}}\, \mathrm d x $$	2
1686	$$ \displaystyle\int^{5/9}_{0} \sqrt{1-\dfrac{81}{4}{\cdot}x}\, \mathrm d x $$	2
1687	$$ \displaystyle\int^{5/9}_{0} \sqrt{1+\dfrac{81}{4}{\cdot}x}\, \mathrm d x $$	2
1688	$$ \displaystyle\int^{4}_{0} x{\cdot}\sin\left(\dfrac{{\pi}{\cdot}x}{4}\right)\, \mathrm d x $$	2
1689	$$ \displaystyle\int^{e}_{1} \left(1-\dfrac{\ln\left(x\right)}{x}\right){\cdot}\sqrt{{x}^{2}-2x+2}\, \mathrm d x $$	2
1690	$$ $$	2
1691	$$ \displaystyle\int 2{x}^{-1}\, \mathrm d x $$	2
1692	$$ $$	2
1693	$$ $$	2
1694	$$ $$	2
1695	$$ $$	2
1696	$$ $$	2
1697	$$ $$	2
1698	$$ $$	2
1699	$$ \displaystyle\int \dfrac{1}{x+5}\, \mathrm d x $$	2
1700	$$ \displaystyle\int^{\infty}_{0} {\mathrm{e}}^{-x}{\cdot}\cos\left(x\right)\, \mathrm d x $$	2