3. Let f(x) = ax°+bx2 + cx+d be any polynomial of degree 3 or less. Show by direct computation tha S(2) dar = f () +

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3. Let f(x) = ax°+bx² + cx +d be any polynomial of degree 3 or less. Show by direct computation thát
dx = f
+ f
(This is called a two-point Gaussian quadrature. For certain kinds of functions, the same formula gives
a good approximation of the definite integral.)
Transcribed Image Text:3. Let f(x) = ax°+bx² + cx +d be any polynomial of degree 3 or less. Show by direct computation thát dx = f + f (This is called a two-point Gaussian quadrature. For certain kinds of functions, the same formula gives a good approximation of the definite integral.)
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