27 min read
This study guide covers integrals in calculus, focusing on calculating accumulation of change using geometric areas. It explores approximating areas with Riemann Sums (right, left, midpoint, trapezoidal), summation notation, and definite integral notation. The guide explains the Fundamental Theorem of Calculus, connecting integrals and derivatives, and how to interpret the behavior of accumulation functions. It also details techniques like u-substitution, long division, and integration by parts (BC only), partial fractions (BC only), and improper integrals (BC only).
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Question 1 of 22
If the graph of represents the rate of change of a function , what does the area between the graph of and the x-axis represent?
The instantaneous rate of change of
The second derivative of
The accumulation of change of
The average value of