MATH 1007 Lecture Notes - Lecture 14: Artificial Insemination, Even And Odd Functions
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= 1/3 integral u^-. 5 du = 1/3 {u^. 5/. 5} + c. = integral sinu du/5 whatever in botom, take that as u. Now we will pracise doing this integraion but with limits! Change the limits of the integraion so that they correspond to the change of variable. And now you change the limits to those. = integral from 9 to 25 of root(u) du/2. = u^(. 5+1)/(. 5+1) line from 9 to 25. = (1/3) (u^(3/2)) line from 9 to 25. Do what we normally do and get your expression f(x) Then it will be = f(x) line from lower limit to upper limit. = integral from 1 to 3 of u4 du/6. = 1/6 integral from 1 to 3 of u4du\ = 1/6 x u5/5 line from 1 to 3. The shit we are learning right now is called: integraion by subsituion in case of indeinite integrals .