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" If "int(dx)/(cos^(2)x sqrt(sin2x))=a(t...

" If "int(dx)/(cos^(2)x sqrt(sin2x))=a(tan^(2)x+b)sqrt(tan x)+c," then "

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If int(dx)/(cos^(3)x sqrt(sin2x))=a(tan^(2)x+b)sqrt(tan x)+c

If int(dx)/(cos^(3)x sqrt(sin2x))=a(tan^(2)x+b)sqrt(tan x)+c, then (a) a=(sqrt(2))/(5),b=(1)/(sqrt(5))(b)a=(sqrt(2))/(5),b=5(c)a=(sqrt(2))/(5),b=-(1)/(sqrt(5))(d)a=(sqrt(2))/(5),b=sqrt(5)

"I f"int(dx)/(cos^3xsqrt(sin2x))=a(tan^2x+b)sqrt(tanx)+c

"I f"int(dx)/(cos^3xsqrt(sin2x))=a(tan^2x+b)sqrt(tanx)+c

int(dx)/(cos2x+sqrt(3)sin2x)

If int (dx)/(cos^(3) x sqrt(2 sin 2x)) = (tan x)^(A) + C(tan x)^(B) + k , where K is a costant of integration , then A+B + C equls :

int(dx)/(cos^(3)x sqrt(2sin2x))=(tan x)^(A)+C(tan x)^(B)+k where k sqrt(2sin2x)A+B+C=(A)16/5(B)21/5(C)7/10(D)27/10

int(cos x-sin x)/(sqrt(sin2x))dx

int((sin x+cos x)/(sqrt(sin2x))dx