Let f be a differentiable function satisfying f(x)=1-2 x+\int_{0}^{x} e^{(x-t)} f(t) \dt, x \in R and let g(x)=\int_{0}^{x}(f(t)+2)^{15}(t-4)^6(t+12)^{17} \dt, x \in 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 \_\_\_\_ . [28 Jan 2026 Shift 2]

Definite Integrals Part 3

Section: Mathematics

Question : 1 of 115

Marks: +1, -0

Let f be a differentiable function satisfying f(x)=1−2x+

∫

e(x−t)f(t)‌dt,x∈R and let g(x)=

∫

(f(t)+2)15(t−4)6(t+12)17‌dt,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 ____ .

[28 Jan 2026 Shift 2]

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