JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

Let

f: R \rightarrow R

be a function such that

f(2-x)=\mathrm{f}(2+x)

and

\mathrm{f}(4-x)=\mathrm{f}(4+x)

, for all

x \in \mathrm{R}

and

\int\limits_{0}^2 f(x) d x=5

. Then the value of

\int\limits_{{10}}^{50} f(x) d x

is :

View answer and explanation

Correct option: C

100

Option C (100) is correct because the function has a period of 4, and the integral from 10 to 50 is 10 times the integral over one period.

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