Grade 12Integral Calculus
Integrate x-sin x / 1- cos x ........ Plz integrate this
1 Answer
Arun
∫(x –sinx)/(1 –cosx)dx
=> write sinx and cosx in half angle formulaes:
=> (x –2sinx/2cosx/2)/(2sin^2x/2)dx => 0.5xcosec^2x/2 dx + cotx/2 dx …..........................(1)
let cotx/2 = u
– 0.5cosec^2x/2 dx = du
and x = vv
dx = dv
substittue in the eqn. (1)
and after integrating we get,
=> – cot(x/2) + c
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