What is the main concept used to integrate 2x from 1 to 3?

Integration and the Fundamental Theorem of Calculus

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Mathematics
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9th - 12th Grade
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Hard

Lucas Foster
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6 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The Power Rule
The Chain Rule
The Fundamental Theorem of Calculus
The Product Rule
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is an antiderivative of the function 2x?
2x^3
x^3
2x^2
x^2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why can we ignore the constant when evaluating a definite integral?
The constant cancels out during subtraction
The constant is not part of the antiderivative
The constant is always zero
The constant is irrelevant in calculus
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of evaluating the definite integral of 2x from 1 to 3?
9
7
6
8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the definite integral of a nonnegative function over an interval represent?
The maximum value of the function
The average value of the function
The area under the curve
The slope of the function
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the area under the curve of f(x) = 2x from 1 to 3 be verified geometrically?
Using the area formula for a circle
Using the area formula for a trapezoid
Using the area formula for a triangle
Using the area formula for a rectangle
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