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If int(sin x)^((-3)/(4))(cos x)^((-21)/(...

If `int(sin x)^((-3)/(4))(cos x)^((-21)/(4))dx=((tan x)^(a_(1)))/(b_(1))+((tan x)^(a_(2)))/(b_(2))+((tan x)^(a_(3)))/(b_(3))` where C is integration constant then `[(a_(1)+a_(2)+a_(3)+b_(1)+b_(2)+b_(3))/(2)]` equals.( `[.]` denotes greatest integer function).

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