cheeky lil question 8 (1 Viewer)

[lfc_reds2003]

i am not quite sure how to prove


so, you have to
"answer true or false, giving reasons for your answer"

 

[shafqat]

this is very basic
for x between 1 and 0
x^(n+1)<x^n
so 1/x^n+1>1/x^n
so from there clearly the inequality with the integrals follow

 

[lfc_reds2003]

woops lol

i forgot the bounds!!!! hehe

 

[Captain pi]

Since 1/x < 1/y iff x > y, and xⁿ > x^{n + 1} iff x : [0,1] & n > 0, and integrals represent areas (insofar as HSC) under values, the statement is true.