I have these two integrals I need to evaluate but not sure how to start them.
Can any1 show me?
1. integral 1/(x^6-1) dx
2. integral sqrt(1-cos(ax)) dx
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I think for Q1 can be started by using partial fractions.
For the first try partial fractions
and the second, try using the identity .
im stuck on how u got that partial fraction decomposition?
so far with this i have
1/x^6-1 = A/x-1 + B/x+1 + Cx+D/x^2+x+1 + Ex+F/x^2-x+1
I have found A = 1/6, B = -1/6, D = -2, and F = 4/3
I dont know if they are right but I am finding it difficult to work out the other constants.
the answer I get for Q2 is:
2*sqrt((cos(ax))+1)/a + C
can any1 verify this?
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