Find anti-derivative of

Question

(sinx + 3cosecx)^2 + cos^2x

Answer 1

(sinx + 3cscx)^2 + cos^2x
= sin^2x + 6 + 9csc^2x + cos^2x
= 7 + 9csc^2x

∫ 7+9csc^2x dx = 7x - 9cotx + C