Barrons AP Calculus

.

(C).

(B) Rewrite as      and use formula (8).

(E) Use formula (4) with    u   =   ex  −   1;  du  =   ex dx.

(D) Use partial fractions;  find    A   and B   such    that

Then    x   −   1   =   A(x −   2)  + Bx.

Set x   =   0:  −1  =   − 2 A   and A   =       .

Set x   =   2:  1   =   2B  and B   =       .

So  the given   integral    equals

(A) Use formula (15)    with    .

(B) Use formula (15)    with    u   =   sin θ;  du  =   cos θ dθ.