If and , then the value of is equal…

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

Problem

If f(x)=∫3(ln⁡x)2+(ln⁡x)4x(1+(ln⁡x)2−(ln⁡x)3) dxf(x) = \int \frac{3(\ln x)^2 + (\ln x)^4}{x(1 + (\ln x)^2 - (\ln x)^3)}\,dx and f(1)=0f(1) = 0, then the value of ∣3f(e2)∣|3f(e^2)| is equal to

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