By using the properties of definite integrals, evaluate the integrals `int0a(sqrt(x))/(sqrt(x)+sqrt(a-x))dx`

By using the properties of definite integrals, evaluate the integrals int_(0)^(a)(sqrt(x))/(sqrt(x)+sqrt(a-x))dx

By using the properties of definite integrals, evaluate the integrals int_(0)^(2)x sqrt(2-x)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_(0)^(1)x(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)(xdx)/(1+sin x)

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

By using the properties of definite integrals, evaluate the integrals int_(0)^( pi)log(1+cos x)dx

By using the properties of definite integrals, evaluate the integrals int_(0)^((pi)/(4))log(1+tan x)dx

Evaluate the integral int(sqrt(x)+(1)/(sqrt(x)))^(2)dx