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Year 12 Maths Advanced (2027) Integral calculus

The Definite Integral & Riemann Sums

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Question 1
188571
For a function \(f\), the sum \(\displaystyle\sum_{a}^{b} f(x)\,\Delta x\) (with strips of width \(\Delta x\)) is an estimate of:
A.
The area under the curve over \([a,b]\)
B.
The gradient at \(x=b\)
C.
The value \(f(b)-f(a)\)
D.
The length of the curve
The area under the curve over \([a,b]\)

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