Evaluate: for m∈N, ∫x3m+x2n+xm)(2x2m+3xm+6)m1dx,x>0

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Evaluate: for $m \in N,$ $\int x^{3 m} + x^{2 n} + x^{m}) (2 x^{2 m} + 3 x^{m} + 6)^{\frac{1}{m}} d x, x > 0$

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Michael Discussed

Evaluate: for

m \in N,

\int x^{3 m} + x^{2 n} + x^{m}) (2 x^{2 m} + 3 x^{m} + 6)^{\frac{1}{m}} d x, x > 0

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Question Text

Evaluate: for

m \in N,

\int x^{3 m} + x^{2 n} + x^{m}) (2 x^{2 m} + 3 x^{m} + 6)^{\frac{1}{m}} d x, x > 0