Logs and Integrals Logs and Integrals Recall that         Note that we have the absolute value sign since for negative values of that graph of 1/x is still continuous. Example Evaluate the integral         Solution let u = 1-3x, du = -3dx The integral becomes         Exercises Evaluate the integrals of the following:  (for answers, place your mouse over the yellow rectangle) A)  1/(x - 1)                        B)  1/(1-x)                            C)  cot x                                         D)  (2x - 1)/(x + 2)             E)  3x/(x2 + 1)2                      F)  1/(x ln x)                                             G)  1/sqrt(x - 1)                  H)  (x2 + 2x + 4)/(3x)            I)  (x + 1)/(x2 + 2x)3                                               J)  (4 - x)5                           K) 1/sqrt(3x)                         L)  tan x                                             M) (tan x)(ln(cos x))                    N)  sec x  (hint:  multiply top and bottom by sec x + tan x)                                 O)  csc x  (hint: Use the formula csc x = sec(p/2 - x)         Back to Math 105 Home Page Back to the Math Department Home e-mail Questions and Suggestions