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प्रश्न
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उत्तर
Consider
Now,
⇒ f(x) is an odd function.
\[\left[ \int_{- a}^a f\left( x \right)dx = \begin{cases}2 \int_0^a f\left( x \right)dx, & \text{if }f\left( - x \right) = f\left( x \right) \\ 0, & \text{if }f\left( - x \right) = - f\left( x \right)\end{cases} \right]\]
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संबंधित प्रश्न
If f(x) is a continuous function defined on [−a, a], then prove that
Prove that:
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