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The integral \(\int_{\frac{\pi} { 6}}^{\frac{\pi} { 3}} \sec ^{2 / 3} x \operatorname{cosec}^{4 / 3} x d x\) is equal to…

Q1

The integral \(\int_{\frac{\pi} { 6}}^{\frac{\pi} { 3}} \sec ^{2 / 3} x \operatorname{cosec}^{4 / 3} x d x\) is equal to

[JEE Main 2019, 10 Apr (Shift 2)]

a

\(3^{5 / 3}-3^{1 / 3}\)

b

\(3^{7 / 6}-3^{5 / 6}\)

c

\(3^{4 / 3}-3^{1 / 3}\)

d

\(3^{5 / 6}-3^{2 / 3}\)

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