Let f: R \to R be a continuous function such that f(x)+f(x+1)=2, for all x \in R. If I_{1}=\int_{0}^{8} f(x) d x and I_{2}=\int_{-1}^{3} f(x) d x, then the value of I_{1}+2 I_{2} is equal to.......... [16 Mar 2021 Shift 1]

Definite Integrals Part 2

Section: Mathematics

Question : 94 of 100

Marks: +1, -0

Let f:R→R be a continuous function such that f(x)+f(x+1)=2, for all x∈R. If I1=

∫

f(x)dx and I2=

∫

−1

f(x)dx, then the value of I1+2I2 is equal to..........

[16 Mar 2021 Shift 1]

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