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Does This Integral 01xe3x2\int _ { 0 } ^ { 1 } x e ^ { 3 x ^ { 2 } }

Question 134

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Does this integral 01xe3x2\int _ { 0 } ^ { 1 } x e ^ { 3 x ^ { 2 } } dx = 16\frac { 1 } { 6 } ( e3\mathrm { e } ^ { 3 } - 1)?

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