MAT 21B Lecture 8: Lecture 8
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MAT 21B Full Course Notes
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One way the find theorem . can use substitution to solve definite integrals too . is to use it anti derivative as for then indefinite the apply to integrals fundamental. U - tan x du = first . see 2x. Stan x see x doc dx f u du. Therefore , f ! tan x see x doc = ]% . Another way substitute is to change the endpoints when we. G ex ) is differentiable f furthermore , Gc ) g continuous continuous on on the range f gcb ) g ca ) f cu ) du . doc. 0 in the example is not a coincidence x is an odd function . Theorem ( odd or even function ) tf f. 2x f! flock f c- a ) then fcxldxgm , It! a is odd , which is flat ft - x ) then text doc = Warning i most functions are neither odd nor even.
