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Calculus 2 help?
Need help with these questions. I have a test tomorrow and need help on knowing how to work these.....S stands for integration. And just help on any of these would be fine. Thanks
1) S 2/(x-9)^2 dx .... i got the answer -2/(x-9) but how did they get that because as far as I got is 2S1/(u^2) dx
2) S [x + 1/(3x-1)^3] dx
3) S (x^2-3)/(-x^3+9x+1) dx ......long division?
4) cotx ln(sinx) dx ........ havn't tried to work it yet.
5) S 2/((2x-1)^2+4) dx ...here you use arctan formula which is du/a^2+u^2 = 1/a arctan(u/a)+c and I have kinda got a and u figured out just need help putting in because this is diff. from what we did in class.
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(1)
(2)Try putting the integrand into partial fractions.
(3)
(4)
Notice that
(5)
Try the substitution
Last edited by JaneFairfax (2007-03-21 14:03:10)
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Can I use
in 2??Numbers are the essence of the Universe
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Or just
. Thatll work.Offline
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