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Definite Integration question

2019 · 10 Apr · Shift 2 · Q37

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PYQ Library
JEE Main
Mathematics
Definite Integration
2019 · 10 Apr · Shift 2 · Q37

Definite Integration question

2019 · 10 Apr · Shift 2 · Q37

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The integral

\int\limits_{\pi /6}^{\pi /3} {{{\sec }^{2/3}}} x\cos e{c^{4/3}}xdx

is equal to :

A
${3^{{5 \over 3}}} - {3^{{1 \over 3}}}$
B
${3^{{5 \over 6}}} - {3^{{2 \over 3}}}$
C
${3^{{4 \over 3}}} - {3^{{1 \over 3}}}$
D
${3^{{7 \over 6}}} - {3^{{5 \over 6}}}$

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