1. Evaluate .
I know I need to use substitutions in both cases but I'm not sure what to substitute so it works out nice... I've tried a few things like for the first one but I couldn't get to work out...
Thanks much... I got the first question just fine after that, but when I try to use u=cos(x), then wouldn't du=-sin(x)dx? I'm having a tough time with the absolute value.
My train of thought for the second one... where am I going wrong?
Which I know is wrong because I got 4/3 from Derive...
Ah, okay... I was thinking for some reason that I wanted the interval of which cos(x) is negative instead of the whole function cos(x)^2sin(x)... dumb mistake made, thanks for explaining.
Anyways, not sure if you're getting to it but am I heading in the right direction for the substitution?
Let u = cos(x) so du = -sin(x) dx
*need a -1 in the first integrand to substitute, so multiply by a factor of one
substituting, I get...
I'm trying to make sense of what I've got in my notes, so I've no idea where to go next or what I'm doing wrong here...
Also, a friendly warning.
which is not the same as
I had a test where I had to differentiate:
And I interpreted the exponent 3/5 as being applied to the entire natural log, rather than to the inside of the natural log. Cost me 2.5% of my total test grade -.-
so you only got 97.5%?And I interpreted the exponent 3/5 as being applied to the entire natural log, rather than to the inside of the natural log. Cost me 2.5% of my total test grade -.-
Also lost a point for incorrectly transcribing a correct answer, explaining in a paragraph why one of the limit questions must be equal to zero rather than manipulating it to be equal to zero, and 2 points for forgetting the very last link in a chain rule differentiation.
But then my instructor curved it, so the grade on the books is out of 74