1.

Find : (a) the points of extrumumand thepoints of inflection on the graphof the function. I = int_(0)^(x) (t - 1) (t - 2)^(2) dt (b)curvature of the line defined by the parametric equations : {{:(x = a sqrt(x) int_(0)^(t)cos"" (pi t^(2))/(2) dt),(y = a sqrt(pi) int_(0)^(t) sin""(pi t^(2))/(2) dt):} (the Cornu spiral)

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Answer :(a)`x_(1) = (4)/(3), x_(2) = 2`
(b) `(SQRT(PI)t)/(a)`


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