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Integrals — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsIntegrals1 Mark
MCQ
The antiderivative of every odd function is :
  • A
    An odd function
  • ✓
    An even function
  • C
    Neither even nor odd
  • D
    Sometimes even, sometimes odd
✓

Answer

Correct option: B.
An even function
The anti derivative of an odd function is even.
Let $f(x)$ be odd
eg $= f(x) = x$ odd function
$\int\text{x  dx}=\frac{\text{x}^2}{2}+\text{c}$
$\text{g}'(\text{x})=\frac{{\text{x}}^{2}}{\text{x}}+\text{c}$ is even.

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