I am reading the Numerical Algorithms book by Justin Solomon. But I can't understand this method: Mathematics Review - Page 16
Can someone explain to me how we can get the third line based on what we've gained in the second line? Thanks in advance.
2026-03-28 19:29:06.1774726146
Can someone explain me this infinitesimal analysis method?
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In the third line they have $y\int_x^y f''(t)dy- \int_x^y tf''(t)dt$ $= \int_x^y yf''(t)dt- \int_x^y tf''(t)dt$
$= \int_x^y (yf''(t)dt- tf''(t)dt)$
$= \int_x^y (y- t)f''(t)dt$