MathDB
2017 VTRMC #2

Source:

August 8, 2018

Problem Statement

Evaluate ∫0adx/(1+cos⁡x+sin⁡x) \int _ { 0 } ^ { a } d x / ( 1 + \cos x + \sin x ) for −π/2<a<π - \pi / 2 < a < \pi . Use your answer to show that ∫0π/2dx/(1+cos⁡x+sin⁡x)=ln⁡2 \int _ { 0 } ^ { \pi / 2 } d x / ( 1 + \cos x + \sin x ) = \ln 2 .
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