How do you integrate $(5 x^{4} {(x^{6} + 4)}^{9} d x$ $(5x^4(x^6+4)^9 dx$ ?

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Answer 1 · 2015-05-03T04:18:47

Substitution won't simplify this problem.

You could try parts, but in the end you'll have to multiply it out and integrate term by term.

(Unless there's a typo and you meant to type:

$\int 5 x^{4} {(x^{5} + 4)}^{9} d x$ $int 5x^4(x^5+4)^9 dx$ . In which case, let $u = (x^{5} + 4)$ $u=(x^5+4)$ and integrate $u^{9} d u$ $u^9 du$ .)

How do you integrate (5x4(x6+4)9dx(5x^4(x^6+4)^9 dx?