Evaluate: ^ 4 3 xcosec^ 8 3 xdx. - Vidyadip

MCQ

Evaluate$:\ \int\sec^{\frac{4}{3}}\text{x}\operatorname{cosec}^{\frac{8}{3}}\text{xdx}.$

A
$\frac{3}{5}\tan^{\frac{-5}{3}}\text{x}-3\tan^{\frac{1}{3}}\text{x}+\text{c}$
✓
$-\frac{3}{5}\tan^{\frac{-5}{3}}\text{x}+3\tan^{\frac{1}{3}}+\text{c}$
C
$-\frac{3}{5}\tan^{\frac{-05}{3}}\text{x}-3\tan^{\frac{1}{3}}+\text{c}$
D
None of these

✓

Answer

Correct option: B.

$-\frac{3}{5}\tan^{\frac{-5}{3}}\text{x}+3\tan^{\frac{1}{3}}+\text{c}$

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