Let {\f}: {\R} \to {\R} be a continuous function satisfying f(x)+f(x+k)=n, for all x \in R where k>0 and n is a positive integer. If I_1=\int_0^{4 n k} f(x) d x and I_2=\int_{-k}^{3 k} f(x) d x, then : [28-Jun-2022-Shift-2]

Correct Answer is : I1+nI2=4n2k

JEE Main 28 June 2022 Shift 2 Solved Paper

Section: Mathematics

Question : 8 of 90

Marks: +1, -0

Let f:R→R be a continuous function satisfying f(x)+f(x+k)=n, for all x∈R where k>0 and n is a positive integer. If I1=

4nk

∫

f(x)dx and I2=

∫

−k

f(x)dx, then :

[28-Jun-2022-Shift-2]

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