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Let y=f (x) be a curve which satisfies ...

Let `y=f (x)` be a curve which satisfies the differential equation `e^x dy+(x-1)dx=0 and f(0)=0`. If area enclosed by the curve, the x-axis and a line `x=c` where `(c, f(c))` is the point of inflection on the curve is `(1-p/e^q),p,q in N` then find the value of `(p+q)`.

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