NEAP 2022 Topic Test HELP ME (1 Viewer)

[KanyeWestLover1247]

This appeared on a nature of proof topic test btw .
I don't have access to the solution.



Edit: I ended up proving it using induction and manipulation of the bounds

 

[cheesynooby]

what if u just move the rhs to the left and thus before integrating cancel the a^x and b^x terms in the expansion and just explain the rest of the terms must be positive as a,b,n are positive

 

[KanyeWestLover1247]

what if u just move the rhs to the left and thus before integrating cancel the a^x and b^x terms in the expansion and just explain the rest of the terms must be positive as a,b,n are positive

I don't think you can do that unless the exponents x are integers, which it doesn't specify. I tried differentiating to show that so and so was a minimum, but that didn't get me anywhere