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Evaluateintegrate (1/a+bcosx).dx limit 0 to p
integrate dx/(a+bcosx)put cosx=(1-tan^2(x/2))/(1+tan^(x/2))integrate sec^2(x/2) dx/a(1+tan^2(x/2)+b(1-tan^2(x/2))=integrate sec^2(x/2)dx/(a+b)+(a-b)tan^2(x/2)put tan(x/2)=tdiff w. r. to x we getsec^2(x/2).1/2 dx=dt=integrate 2dt/(a+b)+(a-b)t^2=2/sqrt(a+b) arctan( sqrt(a-b)t/sqrt(a+b))=2/sqrt(a+b) arctan(sqrt(a-b)tan(x/2)/sqrt(a+b))Thanks & RegardsRinkoo GuptaASkIITians Faculty
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