Squares of Trigonometric Ratios (2)

Calculus Level 4

\[ \large \displaystyle \int_{0}^{\pi/2}\dfrac{dx}{16 \sin^2x + 9 \cos^2 x}= \, ? \]

Give your answer to 3 decimal places.

For your final step, you may use the approximation \(\pi = \dfrac{22}{7}\).

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