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If ∫x^2 d(ln x) for x ∈ [-1,1] = (e^m – 1)/2e^n, m, n ∈ N, find the value of (m + n).

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in Integrals calculus by (38.6k points)

If ∫x2 d(ln x) for x ∈ [-1,1] = (em – 1)/2en, m, n ∈ N, find the value of (m + n). 

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We have 

Clearly, m = 4 and n = 2. 

Hence, the value of (m + n) = 6.

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