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  4. If f(t) is an odd function, then ∫ limits0xf(t) dt is:

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Q. If $ f(t) $ is an odd function, then $ \int\limits_{0}^{x}{f(t)}\,dt $ is:

Jharkhand CECEJharkhand CECE 2005

Solution:

If $ f(t) $ is an odd function, then $ \int\limits_{0}^{x}{f(t)}\,dt $ is an even function.
If $ f(t) $ is an even function, then $ \int\limits_{0}^{x}{f(t)}\,dt $ is an odd function.