Find the set of critical points of the function f(x)=x- x+ _2^x ( 1z-2-2 4z )dz.

MATHEMATICS · Subjective · A Level · Mathematics · Integration · Integration

Problem

Find the set of critical points of the function

f(x)=x-\log x+\int_2^x\left(\frac1z-2-2\cos 4z\right)dz.

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