CBSE

MATHEMATICS · Multi-part · CBSE · Mathematics · Integrals · Integrals

Problem

Evaluate (1) ∫0π/2dx1+tan⁡x\int_{0}^{\pi/2} \frac{dx}{1 + \sqrt{\tan x}} (2) ∫0π/2log⁡(tan⁡x)dx\int_{0}^{\pi/2} \log(\tan x) dx (3) ∫0π/4log⁡(1+tan⁡x)dx\int_{0}^{\pi/4} \log(1 + \tan x) dx (4) ∫0π/2sin⁡x−cos⁡x1+sin⁡xcos⁡xdx\int_{0}^{\pi/2} \frac{\sin x - \cos x}{1 + \sin x \cos x} dx

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