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definite integral of radical trigonometric function

SByrne55 · 2015-11-10 17:50:12

I'm finding it difficult to solve the integral below. I can't seem to find the correct substitution. I'd appreciate any input. integrand of √((17/4)-2cos(u)) over the interval [0,6π]

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10-11-2015 6:50pm

#1
SByrne55

Registered Users Posts: 5 ✭

Join Date: September 2015

Posts: 1
I'm finding it difficult to solve the integral below. I can't seem to find the correct substitution.
I'd appreciate any input.

integrand of √((17/4)-2cos(u)) over the interval [0,6π]

Tagged:

science

physics

calculus

mathematics

trigonometry

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#2 14-11-2015 12:42am
MathsManiac

Registered Users Posts: 1,595 ✭✭✭

Join Date: April 2007

Posts: 1571

Have you typed it correctly? This doesn't seem to be solvable analytically. Are you meant to use numerical methods?

See output below - if this could be solved analytically, I'm pretty sure wolframalpha would be able to do it.

http://www.wolframalpha.com/input/?i=integral%28sqrt%28%2817%2F4%29-2cos%28u%29%29%2Cu%3D0..6*Pi%29

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