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Integral/Dependence on parameter/at^2-a^2t/-1 to 2/Extrema/Exercise
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Determine for which
a
∈
R
{\displaystyle {}a\in \mathbb {R} }
the function
a
⟼
∫
−
1
2
a
t
2
−
a
2
t
d
t
{\displaystyle a\longmapsto \int _{-1}^{2}at^{2}-a^{2}tdt}
has a maximum or a minimum.
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