CBSE

MATHEMATICS · Subjective · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

Evaluate ∫cos⁡(cos⁡−1α)sin⁡(sin⁡−1β)∣cos⁡(cos⁡−1x)sin⁡(sin⁡−1x)∣dx\int_{\cos(\cos^{-1}\alpha)}^{\sin(\sin^{-1}\beta)} \left| \frac{\cos(\cos^{-1}x)}{\sin(\sin^{-1}x)} \right| dx .

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