integrate
(3+2COSx)/((2+3COSx)^2)
2006-12-24 03:48:36 · 3 answers · asked by Gunjit M 2 in Science & Mathematics ➔ Mathematics
plz show the working
2006-12-24 04:13:29 · update #1
plz show the working
2006-12-24 04:14:10 · update #2
I did it by Maple: -2*tan(1/2*x) / (-5+tan(1/2*x)^2).
By hand, I would try to substitute t=tan(x/2). This works for all rational expressions of trigonometric functions and this way you can avoid working with complex-valued functions.
2006-12-24 04:02:32 · answer #1 · answered by ted 3 · 0⤊ 1⤋
OH! The 2 and 3 are switched! OK you can write cos(x)=(exp(ix)+exp(-ix))/2 then integrate as artional function of exp(ix). You end up with 2tan(x/2)/ [5-tan(x/2)^2]
2006-12-24 04:03:42 · answer #2 · answered by a_math_guy 5 · 0⤊ 1⤋
being a bit lazy with that last answer... :)
if you jig it around - the answer is
sin(x) / [3cos(x)+2] (obviously +c...lol)
if you wnat the working im happy to put them up as well...
2006-12-24 04:10:49 · answer #3 · answered by necrosect 1 · 0⤊ 0⤋