By using the properties of definite integrals, evaluate the integrals`int0pi/2(cos^5x dx)/(sin^5+cos^5x)`

By using the properties of definite integrals, evaluate the integrals int_0^(2pi)cos^5x dx

By using the properties of definite integrals, evaluate the integrals int_0^(pi/2) cos^2x dx

By using the properties of definite integrals, evaluate the integrals int_0^1x(1-x)^n dx

By using the properties of definite integrals, evaluate the integrals int_-5^5|x+2|dx

By using the properties of definite integrals, evaluate the integrals int_0^(pi/2) (sinx-cosx)/(1+sinxcosx)dx

By using the properties of definite integrals, evaluate the integrals int_0^4 |x-1|dx

By using the properties of definite integrals, evaluate the integrals int_(-pi/2)^(pi/2)sin^7x dx

By using the properties of definite integrals, evaluate the integrals int_0^(pi/2)(sin^(3/2)x dx)/(sin^(3/2)+cos^(3/2)x)

By using the properties of definite integrals, evaluate the integrals int_0^(2) xsqrt(2-x)dx

By using the properties of definite integrals, evaluate the integrals int0pi/2(sqrt(sinx))/(sqrt(sinx)+sqrt(cosx))dx