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