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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

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

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

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