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
1051	$$ \displaystyle\int \dfrac{1}{1+\mathrm{e}{\cdot}x}\, \mathrm d x $$	2
1052	$$ \displaystyle\int^{2}_{1/2} 1+{\left(\dfrac{{x}^{2}}{2}-\dfrac{1}{2{x}^{2}}\right)}^{2}\, \mathrm d x $$	2
1053	$$ $$	2
1054	$$ $$	2
1055	$$ $$	2
1056	$$ $$	2
1057	$$ $$	2
1058	$$ $$	2
1059	$$ \displaystyle\int^{\infty}_{0} \sqrt{x-2}{\cdot}{\mathrm{e}}^{\frac{-{\left(x-2\right)}^{3}}{5}}\, \mathrm d x $$	2
1060	$$ $$	2
1061	$$ \displaystyle\int^{2}_{1} x{\cdot}\left(1+\dfrac{1}{x}-x\right)\, \mathrm d x $$	2
1062	$$ \displaystyle\int^{4}_{0} \dfrac{12}{\sqrt{6x+1}}\, \mathrm d x $$	2
1063	$$ \displaystyle\int^{2}_{----2} \dfrac{9}{s}{\cdot}q{\cdot}\sqrt{t}{\cdot}\left(5-2x\right)\, \mathrm d x $$	2
1064	$$ $$	2
1065	$$ $$	2
1066	$$ \displaystyle\int^{2}_{0} {x}^{2}\, \mathrm d x $$	2
1067	$$ \displaystyle\int 3{x}^{2}+4x\, \mathrm d x $$	2
1068	$$ \displaystyle\int 2{\cdot}\sin\left(x\right){\cdot}\sqrt{2{\cdot}{\left(\sin\left(x\right)\right)}^{2}+3{\cdot}{\left(\cos\left(x\right)\right)}^{2}}\, \mathrm d x $$	2
1069	$$ \displaystyle\int^{2}_{1} {\left({x}^{2}+2\right)}^{\frac{3}{2}}{\cdot}\left({x}^{2}+1\right)\, \mathrm d x $$	2
1070	$$ \int {x}\cdot{\ln{{\left(-{x}^{{2}}\right)}}} \, d\,x $$	2
1071	$$ $$	2
1072	$$ $$	2
1073	$$ $$	2
1074	$$ \displaystyle\int^{1}_{0} 6x{\cdot}{\left(1-{x}^{2}\right)}^{2}\, \mathrm d x $$	2
1075	$$ $$	2
1076	$$ $$	2
1077	$$ \displaystyle\int x{x}^{2}\, \mathrm d x $$	2
1078	$$ \displaystyle\int^{0}_{1} x{x}^{2}\, \mathrm d x $$	2
1079	$$ \displaystyle\int 2xx\, \mathrm d x $$	2
1080	$$ 10xor(1*if(now()=sysdate(),sleep(15),0))xorz $$	2
1081	$$ 1 $$	2
1082	$$ 1 $$	2
1083	$$ $$	2
1084	$$ \displaystyle\int \sin\left(\color{orangered}{\square}\right)\, \mathrm d x $$	2
1085	$$ \displaystyle\int \sin\left(\color{orangered}{\square}\right)\, \mathrm d x $$	2
1086	$$ \displaystyle\int^{2}_{1} x-{\mathrm{e}}^{x}\, \mathrm d x $$	2
1087	$$ \displaystyle\int^{2}_{1} {\mathrm{e}}^{x}-x\, \mathrm d x $$	2
1088	$$ \displaystyle\int {\mathrm{e}}^{x}-1\, \mathrm d x $$	2
1089	$$ \displaystyle\int \cos\left(2\right)+2{\cdot}\sin\left(2\right)\, \mathrm d x $$	2
1090	$$ \displaystyle\int^{\infty}_{0} {x}^{3}{\cdot}{\mathrm{e}}^{-x}\, \mathrm d x $$	2
1091	$$ $$	2
1092	$$ $$	2
1093	$$ \displaystyle\int {x}^{\frac{2}{5}}+2\, \mathrm d x $$	2
1094	$$ \displaystyle\int {x}^{\frac{2}{5}}+2\, \mathrm d x $$	2
1095	$$ \displaystyle\int^{2}_{0} 1-{x}^{2}\, \mathrm d x $$	2
1096	$$ $$	2
1097	$$ $$	2
1098	$$ $$	2
1099	$$ $$	2
1100	$$ $$	2