Let f(x) be an odd function in the interval [-T/2 ,T/2] with a period of T then g(x) = integration - Maths - Integrals

Question

Let f(x) be an odd function in the interval [-T/2 ,T/2] with a
period of T then g(x) = integration of f(t) dt from a to x is of
the nature

Duke Biswass · Accepted Answer

Integral of an odd function is 0 if it is evaluated by limits
that are symmetric across the origin So the given integral will be
0

Let f(x) be an odd function in the interval [-T/2 ,T/2] with a period of T then g(x) = integration of f(t) dt from a to x is of the nature