Barrons AP Calculus

Use formula (3).

(B) The integral    is  equivalent  to   .  Use formula (12).

(E) Use formula (13)    with    

(A) Replace sin 2x  by  2   sin x   cos x;  then    the integral    is  equivalent  to

where   u   =   1   +   cos^2 x and du =    −2  sin x   cos x   dx. Use formula (3).

(D) Rewriting   in  terms   of  sines   and cosines yields

.

(E) Use formula (7).

(C) Replace     by  csc^2   2 x and use formula (10):   

(E) Let u   =   tan−^1 y;   then    integrate   .

(A) Replacing   sin 2θ  by  2   sin