Calculus: Evaluate the integral cosx/x dx over the interval (pi/3, pi/2)?

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Calculus: Evaluate the integral cosx/x dx over the interval (pi/3, pi/2)?

I estimate the solution to be about 0.1125 but I can't seem to find the integral.

2007-01-20 06:45:52 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

3 answers

It is impossible to write an antiderivative for this function. You have to use approximation techniques.

2007-01-20 07:00:14 · answer #1 · answered by gianlino 7 · 1⤊ 0⤋

The reason you can't find an elementary antiderivative
for this function is that none exists!
Try expanding the cosine function in a Taylor
series, dividing by x and integrating termwise.

2007-01-20 08:04:10 · answer #2 · answered by steiner1745 7 · 0⤊ 0⤋

Cosx=1+ax^2+bx^4+.................................................

2007-01-20 07:02:00 · answer #3 · answered by JAMES 4 · 1⤊ 0⤋