Unpacking the Implication of a Formula: n=2

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bubblewrap
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In the attached file it says that the formula for when n=2 implies the next one but I don't understand why it suddenly became (s-t0)^2 inside the integral instead of (s-t0) in the next one and keeps this pattern, it doesn't seem to be implied anywhere for me.
20160118_193530[1].jpg
 
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@bubblewrap,
Your first image was posted sideways, so I deleted it, and edited your post accordingly. Many members will not bother responding if an image is of poor quality or upside-down or sideways.

Please start a new thread with your question about the first image, and try to post the image so that it is oriented correctly.
 
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You get the second step in the inequality you ask about if you integrate the LHS and RHS of the previous inequality.
 
Erland said:
You get the second step in the inequality you ask about if you integrate the LHS and RHS of the previous inequality.
Thank you!