The antiderivative of every odd function is: 1. An odd function 2… - Vidyadip

Question

The antiderivative of every odd function is:

An odd function
An even function
Neither even nor odd
Sometimes even, sometimes odd

✓

Answer

An even function

Solution:

The anti derivative of an odd function is even. Let f(x) be odd

eg = f(x) = x odd function

$\int\text{xdx}=\frac{\text{x}^2}{2}+\text{c}$

$\text{g}'(\text{x})=\frac{{\text{x}}^{2}}{\text{x}}+\text{c}$ is even.

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