JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

\int\limits_{0}^{100} f(x) d x=a

, then

\sum\limits_{{r=1}}^{100}\left(\int\limits_{0}^1 f(r-1+x) d x\right)

is equal to

View answer and explanation

Correct option: B

a

Option B (

a

) is correct because the sum of the integrals can be combined into a single integral from 0 to 100, which is given as

a

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