Using the Fundamental Theorem of Calculus, show that the integral 0² f дхду SSR 2 2x² -(x, y) dA, R = [a, b] × [c, d] X can be expressed in terms of the four values f(a,c), f(a,d), f(b,c) and f(b,d).

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Using the Fundamental Theorem of Calculus, show that the integral
]] (2,8) A
a² f
дхду
R
R = [a, b] x [c, d]
can be expressed in terms of the four values f(a,c), f(a,d), f(b,c) and
f(b,d).
Transcribed Image Text:Using the Fundamental Theorem of Calculus, show that the integral ]] (2,8) A a² f дхду R R = [a, b] x [c, d] can be expressed in terms of the four values f(a,c), f(a,d), f(b,c) and f(b,d).
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