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If-cos-4x-1-cot-x-tan-x-dx-A-cos-4x-B-then-find-A-B-




Question Number 37189 by rahul 19 last updated on 10/Jun/18
If ∫  ((cos 4x+1)/(cot x−tan x)) dx=A cos 4x+B, then   find A,B?
Ifcos4x+1cotxtanxdx=Acos4x+B,thenfindA,B?
Answered by math1967 last updated on 10/Jun/18
∫((2cos^2 2x)/((cos^2 x−sin^2 x)/(sinxcosx)))dx  ∫((2cos^2 2xsinxcosx)/(cos2x))dx  (1/2)∫2sin2xcos2xdx  (1/2)∫sin4xdx=−(1/8)cos4x+c  ∴A=−(1/8) ,B=c=some constant  correct?
2cos22xcos2xsin2xsinxcosxdx2cos22xsinxcosxcos2xdx122sin2xcos2xdx12sin4xdx=18cos4x+cA=18,B=c=someconstantcorrect?
Commented by MJS last updated on 10/Jun/18
correct!
correct!

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