find the first four terms of a power series for the function ∫sec t-1 / t (definite integral from 0 to x)

Question

find the first four terms of a power series for the function ∫sec t-1 / t   (definite integral from 0 to x)

anonymous · Answer

Solve for the antiderivative of sec(t) - 1 and then find the value of the integral from 0 to x by substituting x=1,2,3,4 to get four values

anonymous · Answer

thx!

anonymous · Answer

what about the t in the denominator.  That is not a very friendly anti-derivative!

anonymous · Answer

I cannot come up with an appropriate U substitution to integrate that.  I've also tried changing the secant to a 1/cos function...isn't the idea to get this into the form of a geometric inf series?

anonymous · Answer

yea the integral is pretty nasty

anonymous · Answer

I would suggest to use a calculator to solve this

anonymous · Answer

heh heh, yeah tried that already.

experimentx · Answer

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