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" 4."int(0)^((pi)/(2))(cos^(5)xdx)/(sin^...

" 4."int_(0)^((pi)/(2))(cos^(5)xdx)/(sin^(5)x+cos^(5)x)

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By using the properties of definite integrals, evaluate the integrals int_(0)^((pi)/(2))(cos^(5)xdx)/(sin^(5)+cos^(5)x)

int_(0)^(pi/2)(cos^(5)x dx)/(sin^(5)x+cos^(5)x)

int_(0)^(pi/2)(cos^(5)x dx)/(sin^(5)x+cos^(5)x)

By using the properties of definite integrals, evaluate the integrals int_(0)^(pi/2)(cos^(5)xdx)/(sin^(5)x+cos^(5)x)

By using the properties of definite integrals, evaluate the integrals int_(0)^(pi/2)(cos^(5)xdx)/(sin^(5)x+cos^(5)x)

By using the properties of definite integrals, evaluate the integrals int_(0)^(pi/2)(cos^(5)xdx)/(sin^(5)x+cos^(5)x)

By using the properties of definite integrals, evaluate the integrals int_(0)^(pi/2)(cos^(5)xdx)/(sin^(5)x+cos^(5)x)

By using the properties of definite integrals, evaluate the integrals int_(0)^(pi/2)(cos^(5)xdx)/(sin^(5)x+cos^(5)x)