Question:
If \( \int \frac{1 + \sqrt{\tan x}}{\sin 2x} dx = A \log \tan x + B \tan x + C \), then \( 4A - 2B = \):
If \( \int \frac{1 + \sqrt{\tan x}}{\sin 2x} dx = A \log \tan x + B \tan x + C \), then \( 4A - 2B = \):
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Breaking down the integrand and comparing coefficients is useful in matching standard forms.
Updated On: May 19, 2025
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The Correct Option is C
Solution and Explanation
Split the integral and simplify using trigonometric identities. After integrating and comparing both sides, extract coefficients to find \( 4A - 2B = 1 \).
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