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int(0)^(pi//2)(dx)/((cosx+2sinx))...

`int_(0)^(pi//2)(dx)/((cosx+2sinx))`

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int_(0)^(pi//2)(dx)/(2+cosx)=

Evaluate : int_(0)^(pi//2)(cosx)/((3cosx+sinx))dx .

Evaluate : (i) int_(0)^(pi//2)(cosx)/((cos\ (x)/(2)+sin\ (x)/(2)))dx (ii) int_(0)^(pi//2)(cosx)/((1+cosx+sinx))dx

int_(0)^( pi/2)(cosx/(cosx+sinx))dx

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The value of int_(0)^(pi//2)(cosxdx)/(1+cosx+sinx) is equal to

int_(0)^(pi)(dx)/((3+2sinx+cosx))

int_(0)^(pi//2)(cosx)/((sinx+cosx))dx=(pi)/(4)

int_(0)^(pi//2)(sinx)/((sinx+cosx))dx=?