1. ## Integrals and inequalities help please

I stumbled upon this question in my textbook and im stuck on how to go abouts solving it:

integral sqrt (1+x^2)dx<= integral sqrt(1+x)dx from [0,1]

2. Prove that sqrt (1+x^2)<=sqrt(1+x)

==>(1+x^2)<=(1+x) for all x in [0,1]

3. Originally Posted by Also sprach Zarathustra
Prove that sqrt (1+x^2)<=sqrt(1+x)

==>(1+x^2)<=(1+x) for all x in [0,1]
soo would you go abouts solving for x which i belive is x<=0 which is in [0,1]?

4. What?

(1+x^2)<=(1+x)

==> x^2<=x only!!! if x in [0,1]