JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

Let

f(x)

be an odd continuous function which is periodic with period 2. If

g(x)=\int_0^x f(t) d t

, then

View answer and explanation

Correct option: C

g(2 n)=0

for all

n \in N

Option C (

g(2 n)=0

for all

n \in N

) is correct because g(x) is periodic with period 2 and g(2) = 0, implying g(2n) = 0 for all n in N.

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