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int0^(pi/2)(sin^3x)/(sin^3x+cos^3x)& dd;...

`int_0^(pi/2)(sin^3x)/(sin^3x+cos^3x)& dd; x`

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int_0^(pi/2) sin^3x/(sin^3x+cos^3x)dx

int_0^(pi/2) sin^3x/(sin^3x+cos^3x)dx

What is int_0^(pi//2) (sin^3 x)/(sin^3x+cos^3x) dx

(i) int_0^(pi//2) (sin^3x)/(sin^3x+cos^3x) dx (ii) int_0^(pi//2) (cos^3x)/(sin^3x+cos^3x) dx (iii) int_0^(pi//2) (sin^4x)/(sin^4x+cos^4x) dx (iv) int_0^(pi//2) (cos^5x)/(sin^5x+cos^5x) dx (v) int_0^(pi//2) (sin^5x)/(sin^5x+cos^5x) dx

Evaluate : int_0^(pi/2) sin^3x/(sin^3x+cos^3x)dx .

Evaluate int_(0)^((pi)/(2))(sin^3x)/(sin^3 x+cos^3 x)dx .

By using the properties of definte, prove that int_(0)^(pi//2)(sin^(3)x)/(sin^(3)x+cos^(3)x)dx=(pi)/4