The correct option is D None of these∫_π/6^π/4 cosec 2x dx = 1/2[log tan x]^π/4_π/6 = 1/2 [ log tan π/4 log tan π/6 ]=1/2log √(3) ...

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Second Fundamental Theorem of Calculus

∫π/6π/4 cosec...

Question

$\int_{\frac{π}{6}}^{\frac{π}{4}} c o s e c 2 x d x =$

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None of these

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Solution

The correct option is D
None of these

$\int_{\frac{π}{6}}^{\frac{π}{4}} c o s e c 2 x d x = \frac{1}{2} [l o g t a n x]_{\frac{π}{6}}^{\frac{π}{4}}$
$= \frac{1}{2} [l o g t a n \frac{π}{4} - l o g t a n \frac{π}{6}] = \frac{1}{2} l o g \sqrt{3}$

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