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

question 134

True/False

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

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Definitions:

Personal Fable

A cognitive distortion experienced by adolescents, leading them to believe they are unique and invincible.

Traffic Rules

Regulations established by authorities to ensure safe and efficient movement of vehicles and pedestrians on roads.

Sport-Utility Vehicle

A class of vehicle that combines elements of road-going passenger cars with features from off-road vehicles, like increased ground clearance and four-wheel drive.

Personal Fable

A cognitive distortion encountered in adolescence, making individuals believe they are unique, invincible, and not understood by others.