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OpenStudy (anonymous):
how do you integrate one of these though? see picture
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OpenStudy (anonymous):
OpenStudy (anonymous):
Separate it; integrate 4/u^3 first, then integrate u^2/u^3 (which is just 1/u)
OpenStudy (anonymous):
so -2/u^2 + ln |u|
OpenStudy (anonymous):
\[=\int\limits_{ }^{}4/u ^{3}du +\int\limits_{ }^{}u ^{2}/u ^{3} du=\] simplify second.. done!
OpenStudy (anonymous):
+c sorry
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OpenStudy (anonymous):
right!
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positive a^3+b^3=(a+b)(a^2-ab+b^2) negative a^3-b^3=(a-b)(a^2+ab+b^2) 4.) x^3+1000=0 (factor the cubic) (5 and 6 factor the polynomial) 5.
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lanaa:
positive a^3+b^3=(a+b)(a^2-ab+b^2) negative a^3-b^3=(a-b)(a^2+ab+b^2) 4.) x^3+1000=0 (factor the cubic) (5 and 6 factor the polynomial) 5.
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