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

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

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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

(i) int(cos^(3) x+ sin^(3) x)/(sin^(2) x.cos ^(2) x)dx " "(ii) int(cos2x)/(cos^(2) x sin^(2)x) dx