The function has two critical points in the interval

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

The function

s(x)=\int_0^x\sin\left(\frac{\pi t^2}{2}\right)\,dt

has two critical points in the interval

[1,2.4]

. One critical point is a local minimum and the other is a local maximum. The local minimum occurs at

x=

_____.