Question

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

Answer 1

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

Answer 2

thx!

Answer 3

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

Answer 4

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?

Answer 5

yea the integral is pretty nasty

Answer 6

I would suggest to use a calculator to solve this

Answer 7

heh heh, yeah tried that already.