Page 229 - Calculus Demystified
P. 229

CHAPTER 7
                     216
                                                       3
                                        (d)     tan x sec xdx          Methods of Integration

                                                  2
                                                       2
                                        (e)    sin x cos xdx

                                                       4
                                        (f)    sin x cos xdx
                                  5. Calculate each of the following definite integrals.
                                               1

                                                 x
                                        (a)     e sin xdx
                                              0

                                               e
                                                 2
                                        (b)     x ln xdx
                                              1
                                               4  (2x + 1)dx

                                        (c)        3    2
                                              2   x + x
                                                π
                                                         2
                                                   2
                                        (d)     sin x cos xdx
                                              0

                                               π/3
                                        (e)       tan x sec xdx
                                              π/4
                                               π/4  tan x

                                        (f)            dx
                                              0   cos x
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