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JEE Math Practice Question

The integral $$\int\limits_{\pi /6}^{\pi /3} {{{\sec }^{2/3}}} x\cos e{c^{4/3}}xdx$$ is equal to :

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

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