If , then . Then is equal…

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

If y(x−y)2=xy(x-y)^2=x, then ∫dxx−y=mnln⁡[(x−y)2−1]+⋯\int\frac{dx}{x-y}=\frac{m}{n}\ln\left[(x-y)^2-1\right]+\cdots. Then m+2nm+2n is equal to (1) 1 (2) 3 (3) 5 (4) 7

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