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

Name: Does this integral $\int _ { 0 } ^ { 1 } x e ^ { 3 x ^ { 2 } }$ dx = $\frac { 1 } { 6 }$ ( $\mathrm { e } ^ { 3 }$ - 1)?
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Question

Quizplus · Accepted Answer

This integral can be solved by making a substitution $u = 3x^2$, which simplifies the integral to a form that evaluates to $\frac{1}{6}(e^3 - 1)$.

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

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