JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Hard

1 of 1

Application +4 | -1

f(x)

is a continuous function for all real values of

x

and satisfies

\int\limits_{n}^{n+1} f(x) d x=\frac{n^2}{2} \,\forall\, n \in I

, then

\int\limits_{{-3}}^5 f(|x|) d x

is equal to:

View answer and explanation

Correct option: B

\frac{35}{2}

Option B (

\frac{{35}}{{2}}

) is correct because it is obtained by summing the integrals over the given intervals using the provided condition.

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