Calculate-0-pi-sin-x-2-arctan-2-sin-x-1-dx-2-ln-1-2-1-1-2-pi-

Tinku Tara June 4, 2023 Integration 0 Comments

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Question Number 151067 by qaz last updated on 18/Aug/21

Calculate :: ∫_0 ^π sin (x/2)∙arctan((2/(sin x))−1)dx=(√2)ln(1+(√2))+(1−(1/( (√2))))π

Calculate :: \int_{0}^{π} \sin \frac{x}{2} \cdot \arctan (\frac{2}{\sin x} - 1) dx = \sqrt{2} \ln (1 + \sqrt{2}) + (1 - \frac{1}{\sqrt{2}}) π

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