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integration

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Light:
how to integrate by recognition: (7x^2)(x^3 +1)^5 dx ?

astarmathsandphysics:
Multiply the bracket out then integrate term by term using

Light:
but the answer is in form of factorised with power.is there any shorter way?power 5 need long way of expanding.==

astarmathsandphysics:
I didn't see the power cos I was blinded by q80's link. Better then integration by substition

u=x^3+1
so

Light:
but question says integration  by recognition.

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