Let 2 - x 3 + x dx = 12( x + _e| x + x|) + C, where C is the constant of integration. Then + is equal to

JEE Main 2024 Mathematics question

Let , where C is the constant of integration. Then is equal to

(A)3
(B)1
(C)4Correct
(D)7

Answer: (C)

Solution

(2 − tan x)/(3 + tan x) = (2cos x − sin x)/(3cos x + sin x). Write 2cos x − sin x = A(3cos x + sin x) + B(cos x − 3 sin x) (B multiplies the derivative of the

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Question ID VK-016541