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Question Number 187251 by horsebrand11 last updated on 15/Feb/23

  ∫ ((cos 9x)/(cos 4x. cos 2x)) dx=?

cos9xcos4x.cos2xdx=?

Commented by MJS_new last updated on 15/Feb/23

=4∫(1−4sin^2  x)cos x dx−      −∫((cos x)/(1−2sin^2  x))dx−      −(1/4)∫(((1−2sin^2  x)cos x)/(sin^4  x −sin^2  x +1/8))dx  and these are easy to solve

=4(14sin2x)cosxdxcosx12sin2xdx14(12sin2x)cosxsin4xsin2x+1/8dxandtheseareeasytosolve

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