3 Fill the blanks (1) int _(0)^(pi )/(2)sin^6xdx= ( int (2)/(sqrt (x^2)-4x+3)dx=

(1) (2) Explanation:(1) To evaluate the integral , we can use the power-reducing formula for and then integrate term by term. The result is .(2) For the integral , we can complete the square in the denominator to get . Then, we can use the substitution to simplify the integral. The result is , where is the constant of integration.