Trigonometry (5)

Calculus Level 4

0π/211+(cotx)5/9dx \large \int_0^{\pi /2} \dfrac1{1 + (\cot x)^{5/9} } \, dx

Compute the integral above. Give your answer to 3 decimal places.

For your final step, use the approximation π=227\pi = \dfrac{22}7 .

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