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Magnetic Moment

The area of t...

Question

The area of the region bounded by the x-axis and the curves defined by $y = t a x x, (\frac{- π}{3} \leq x \leq \frac{π}{3})$ is

A

l o g \sqrt{2}

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B

- l o g \sqrt{2}

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C

2 l o g 2

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D

0

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Solution

The correct option is C $2 l o g 2$
Required area = $2 \int_{0}^{\frac{π}{3}} t a n x d x = 2 [l o g s e c x]_{0}^{\frac{π}{3}} = 2 l o g (2)$ .

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