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INTEGRALS — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSINTEGRALS1 Mark
Question
The antiderivative of every odd function is:
  1. An odd function
  2. An even function
  3. Neither even nor odd
  4. Sometimes even, sometimes odd
✓

Answer

  1. 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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