Let f be a differentiable function satisfying f(x)=1-2x+ _0^x e^ (x-t) f(t)dt, x R and let g(x)= _0^x...

Question

Let f be a differentiable function satisfying f(x)=1-2x+ _0^x e^ (x-t) f(t)dt, x R and let g(x)= _0^x (f(t)+2)^ 15 (t-4)^6(t+12)^ 17 dt, x R. If p and q are respectively the points of local minima and local maxima of g, then the value of |p+q| is equal to ____ .

Accepted Answer

9

JEE Main 2026 Mathematics question

Solution

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