JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

f(x+f(y))=f(x)+y

for all

x, y \in R

and

f(0)=1

, then

\int_0^{10} f(10-x) d x

is equal to

View answer and explanation

Correct option: D

10 \int_0^1 f(x) d x

The correct answer is D (

10 \int_0^1 f(x) d x

) because the function is periodic with period 1, allowing simplification of the integral.

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