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OpenStudy (zarkon):
u=6-2x
...
OpenStudy (zarkon):
your limits are not good for this problem
OpenStudy (anonymous):
i got that far... and du=-2dx... but how does that work into the eqn
OpenStudy (zarkon):
are you sure your typed the problem correctly?
OpenStudy (anonymous):
should have dx after √(6-2x)
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OpenStudy (zarkon):
\[\sqrt{6-2x}\] is a complex when x>3
OpenStudy (zarkon):
* a complex number
OpenStudy (zarkon):
are you sure that the limits of integration are from x=2 to x=6?
OpenStudy (anonymous):
as written on my final review sheet
OpenStudy (zarkon):
then it is a typo
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OpenStudy (anonymous):
not surprising, but could I integrate (x+4) as x^2/2+4x and √(6-2x) as (6-2x)^1/2...[(6-2x)^3/2]/3/2
OpenStudy (zarkon):
if you just wanted to compute
\[\int(x+4)\sqrt{6-2x}dx\]
u=6-2x
du=-2dx
\[x=\frac{6-u}{2}\]
\[\int(\frac{6-u}{2}+4)\sqrt{u}\frac{du}{-2}\]
expand...then integrate term by term
OpenStudy (anonymous):
it doesnt work as a definite integral to find area under curve of the eqn. on the interval (2,6)