Show that if (x) px 2 qx r is a quadratic polynomial, then S 2 b a (x) dx In other words, show that So f f(x) dx b a 6 (yo 4y1 y2)...

this case For S Ax b a2 and the endpoints are a a b2 b Following the hint let fx 1 In S1 If ...

Show that if (x) = px 2 + qx + r is a quadratic polynomial, then S

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Show that if ƒ(x) = px²+ qx + r is a quadratic polynomial, then S₂ = ∫^b_aƒ(x) dx. In other words, show that

f f(x) dx =! b-a 6 -(yo+ 4y1 + y2)

; (a+b) where yo = f(a), y = f and y2 = f(b). Show this first for f(x) = 1, x, x and use linearity.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 25, 2023 08:29 AM

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Show that if (x) = px 2 + qx + r is a quadratic polynomial, then S

Question:

So f₁² f(x) dx = ! b-a 6 -(yo+ 4y1 + y2)

Step by Step Answer:

this case For S Ax b a2 and the endpoints are a a b2 b Following the hint let fx 1 In S1 If ...View the full answer

Calculus

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