The area under the curve $y = f(x)$ between $x = a$ and $x = b$ can be approximated using $n$ rectangles of equal width. State the expression for the width of each rectangle, $\Delta x$, in terms of $a$, $b$, and $n$. Then, using summation notation, write an expression that represents the approximate area under the curve using these $n$ rectangles, where the height of each rectangle is determined by the function value at the right endpoint of each subinterval.
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Create Free Account Log inThis is a free VCE Units 3 & 4 Mathematical Methods practice question worth 3 marks, testing your understanding of Definite Integral as Limit. It falls under Calculus in Unit 3: Mathematical Methods Unit 3. Submit your answer above to receive instant AI-powered marking and personalised feedback.
Extend introductory study of functions, algebra, calculus. Focus on functions, relations, graphs, algebra, and applications of derivatives.
Covers limits, continuity, differentiability, differentiation, and anti-differentiation.
informal consideration of the definite integral as a limiting value of a sum involving quantities such as area under a curve and approximation of definite integrals using the trapezium rule
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