$f(x) = 2x - 1$
Definition
$f(x) = 2x - 1$ is an equation representing a linear function. In this case, it defines the function we want to integrate over the interval from 1 to 6.
Related terms
Continuous Function: A continuous function has no sudden jumps, holes, or breaks in its graph. It allows us to evaluate its integral using various methods.
Linear Function: A linear function is a straight line with a constant rate of change. Its graph forms a straight line when plotted on Cartesian coordinates.
Function Notation: Function notation is used to represent functions and their relationships with variables. It provides an efficient way to express mathematical ideas concisely.
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Practice Questions (1)
Approximate the value of $\int_{1}^{6} f(x) , dx$ using 5 equal subintervals, where $f(x) = 2x - 1$. Calculate the trapezoidal Riemann Sum for this integral.
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Resources
Cram Mode
AP Score Calculators
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© 2024 Fiveable Inc. All rights reserved.
AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.