find the integral (y-1)^7dy
H heather chisholm New member Joined Dec 10, 2005 Messages 5 Dec 10, 2005 #1 find the integral (y-1)^7dy
S soroban Elite Member Joined Jan 28, 2005 Messages 5,586 Dec 10, 2005 #2 Hello, Heather! Evidently, you are into Substitution. . . Do you understand any of it? \(\displaystyle \L \int(y\,-\,1)^7\,dy\) Click to expand... Let \(\displaystyle u\:=\:y\,-\,1\;\;\Rightarrow\;\;du = dy\) Substitute: \(\displaystyle \L\;\int u^7\,du\;=\;\frac{1}{8}u^8\,+\,C\) Back-substitute: \(\displaystyle \;\L\frac{1}{8}(y\,-\,1)^8\,+\,C\)
Hello, Heather! Evidently, you are into Substitution. . . Do you understand any of it? \(\displaystyle \L \int(y\,-\,1)^7\,dy\) Click to expand... Let \(\displaystyle u\:=\:y\,-\,1\;\;\Rightarrow\;\;du = dy\) Substitute: \(\displaystyle \L\;\int u^7\,du\;=\;\frac{1}{8}u^8\,+\,C\) Back-substitute: \(\displaystyle \;\L\frac{1}{8}(y\,-\,1)^8\,+\,C\)
