MAT136H1 Lecture Notes - Lecture 8: Even And Odd Functions
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25 Jan 2017
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Mat136h1 s - lecture 8 - calculus 1(b) In general if can see ax+b in the integrand and it would be simpler with just x, then let u = ax+b, and dx = du/a a is a constant, so easy to deal with. Example 5: find i = e17 x+ dx. By the method above, i = e17 x+ . Let u = 17 x + , du = 17dx > dx = du. Make sure that the function is continuous on the interval. For 2, if f x( ) is odd, 0 let u = x, du = dx. ) du a when x = a, u = a( when x = 0,u = 0( ) = 0. Since u and x are dummy variables, they don"t matter. Suppose f x( ) is continuous on a, a: if f x( ) is an even function, then a. 0: if f x( ) is an odd function, then a.