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
851	$$ \displaystyle\int^{2}_{0} \dfrac{1}{{\left(\ln\left(x\right)\right)}^{7}}\, \mathrm d x $$	2
852	$$ \displaystyle\int^{2}_{0} \dfrac{1}{\ln\left(x\right)}\, \mathrm d x $$	2
853	$$ $$	2
854	$$ $$	2
855	$$ $$	2
856	$$ \displaystyle\int \dfrac{\sqrt{4+{x}^{2}}}{{x}^{6}}\, \mathrm d x $$	2
857	$$ \displaystyle\int^{\infty}_{1} \dfrac{\arcsin\left(\dfrac{1}{2x}\right)}{{\left(x-1\right)}^{2}}{\cdot}a\, \mathrm d x $$	2
858	$$ \displaystyle\int \sqrt{4{\mathrm{e}}^{-x}+c{\cdot}{\mathrm{e}}^{-2x}}\, \mathrm d x $$	2
859	$$ \displaystyle\int^{0}_{1} -{x}^{2}\, \mathrm d x $$	2
860	$$ $$	2
861	$$ $$	2
862	$$ $$	2
863	$$ \displaystyle\int \dfrac{1}{\left(x+1\right){\cdot}\left(\ln\left(x\right)+x\right)}\, \mathrm d x $$	2
864	$$ \displaystyle\int \dfrac{3}{x}-\dfrac{x}{3}\, \mathrm d x $$	2
865	$$ $$	2
866	$$ $$	2
867	$$ $$	2
868	$$ $$	2
869	$$ $$	2
870	$$ \displaystyle\int \dfrac{{x}^{8}}{{x}^{9}+24}\, \mathrm d x $$	2
871	$$ \displaystyle\int {2}^{2}\, \mathrm d x $$	2
872	$$ $$	2
873	$$ \displaystyle\int \dfrac{{\mathrm{e}}^{x}{\cdot}\left(1+n{x}^{n-1}-{x}^{2n}\right)}{\left(1-{x}^{n}\right){\cdot}\sqrt{1-{x}^{2n}}}\, \mathrm d x $$	2
874	$$ $$	2
875	$$ \displaystyle\int^{+1}_{----1} {x}^{2}+\dfrac{1}{{x}^{2}}\, \mathrm d x $$	2
876	$$ \displaystyle\int \dfrac{1}{\sin\left(x\right)}\, \mathrm d x $$	2
877	$$ \displaystyle\int^{\pi/8}_{0} \sec\left(2x\right)\, \mathrm d x $$	2
878	$$ \displaystyle\int \dfrac{{\mathrm{e}}^{\frac{1}{x}}}{{x}^{2}}\, \mathrm d x $$	2
879	$$ \displaystyle\int \sin\left(7x\right)\, \mathrm d x $$	2
880	$$ $$	2
881	$$ \displaystyle\int \dfrac{{\mathrm{e}}^{x}}{\left({\mathrm{e}}^{x}-1\right){\cdot}\left({\mathrm{e}}^{x}+2\right)}\, \mathrm d x $$	2
882	$$ \displaystyle\int \dfrac{x}{\sqrt{24-4{x}^{4}+4{x}^{2}}}\, \mathrm d x $$	2
883	$$ \displaystyle\int {\left(\tan\left(x\right)\right)}^{2}{\cdot}\dfrac{1}{\cos\left(x\right)}\, \mathrm d x $$	2
884	$$ \displaystyle\int {\left(\sin\left(x\right)\right)}^{2}+{\left(\cos\left(x\right)\right)}^{2}\, \mathrm d x $$	2
885	$$ \displaystyle\int {\left(1-{x}^{2}\right)}^{\frac{1}{2}}\, \mathrm d x $$	2
886	$$ \displaystyle\int {\left(\cos\left(x\right)\right)}^{2}{\cdot}{\left(\sin\left(x\right)\right)}^{2}\, \mathrm d x $$	2
887	$$ \displaystyle\int \dfrac{{\mathrm{e}}^{x}-3}{{\mathrm{e}}^{x}}\, \mathrm d x $$	2
888	$$ \displaystyle\int {3}^{5x+4}\, \mathrm d x $$	2
889	$$ \displaystyle\int 50-10{\mathrm{e}}^{-0.5x}\, \mathrm d x $$	2
890	$$ \displaystyle\int {sqrt}^{4}\, \mathsqrtm d x $$	2
891	$$ \displaystyle\int {r}^{4}\, \mathrm d x $$	2
892	$$ \displaystyle\int \sqrt{\sin\left(x\right)}\, \mathrm d x $$	2
893	$$ \displaystyle\int^{2}_{0} -5x+10\, \mathrm d x $$	2
894	$$ \displaystyle\int -5x+10\, \mathrm d x $$	2
895	$$ \displaystyle\int^{2\pi}_{0} 325{\cdot}\sin\left(x\right)\, \mathrm d x $$	2
896	$$ \displaystyle\int^{\pi}_{0} 325{\cdot}\sin\left(x\right)\, \mathrm d x $$	2
897	$$ \displaystyle\int^{4}_{0} \sqrt{{\left(-{\pi}{\cdot}\sin\left({\pi}{\cdot}t\right)\right)}^{2}+4+{\left(2{\pi}{\cdot}\sin\left(2{\pi}{\cdot}t\right)\right)}^{2}}\, \mathrm d x $$	2
898	$$ \displaystyle\int x{\cdot}{\left(4x+5\right)}^{3}\, \mathrm d x $$	2
899	$$ \displaystyle\int \tan\left(13x\right)\, \mathrm d x $$	2
900	$$ \displaystyle\int^{1}_{0} 2{x}^{4}-3{x}^{2}+5\, \mathrm d x $$	2