anonymous
  • anonymous
How would you integrate (x-x^2)/(2 cube root x) with a lower limit of -1 and upper limit of -8?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
\[\int\limits_{-8}^{-1} \frac{ x-x ^{2} }{ 2\sqrt[3]{x} } dx\]
anonymous
  • anonymous
|dw:1378909218625:dw|
anonymous
  • anonymous
where did the 3/10 and 3/18 come from?

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anonymous
  • anonymous
According to the following rule: |dw:1378909825970:dw| It was 3/10 and 3/16 not 3/18
anonymous
  • anonymous
oh ok... I got it
anonymous
  • anonymous
seems to get really messy but thanks! and also if its not too much trouble im also stuck on- \[\int\limits_{\frac{ \pi }{ 4 }}^{\frac{ \pi }{ 2 }}(2-\csc ^{2}x)dx\]
anonymous
  • anonymous
I really cant solve for csc
anonymous
  • anonymous
Can it be useful? |dw:1378910122808:dw|
anonymous
  • anonymous
iit could but then we would have to find the antiderivative of tan
anonymous
  • anonymous
or tan^2
anonymous
  • anonymous
And I think there's another useful relation might help you!|dw:1378910378395:dw|
anonymous
  • anonymous
so the antiderivative of cot is simply -cot?
anonymous
  • anonymous
No, antiderivative of cot isn't - cot. it is something else. You must say that antiderivative (1+cot^2x) is -cot x.
anonymous
  • anonymous
i don't follow, how can we say that the antiderivative of 1+cot^2 is -cotx
anonymous
  • anonymous
f(x) is said to be antiderivative of F(x) when|dw:1378910725038:dw|
anonymous
  • anonymous
ok but how does that help?
anonymous
  • anonymous
It doesn't tell you sth in itself. You must know how to learn methods of integrations ....
anonymous
  • anonymous
I have got to go. take care!

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