Barrons AP Calculus

(Marvins-Underground-K-12) #1




































(C) Use formula (6) with    .

(B) Use formula (15)    with    .

(C) Use the Parts   Formula.    Let u   =   x,  dv  =   e−xdx;  du  =   dx, v = −e−x.   Then,

(C) See Example 44.

(D) The integral    is  of  the form    .

(A) The integral    has the form     .  Use formula (18),   with    u   =   ex, du  =
ex dx.

(C) Let u   =   ln  v;  then     .  Use formula (3) for .

(E) Hint:   ln  =       ln  x;  the integral    is  

(B) Use parts,  letting u   =   ln  x   and dv  =   x^3 dx. Then    du  =    dx and .
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