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Calculus

Area Between Curves

Concept Quizzes

Area between Curve and x-axis
Area between Curve and y-axis
Area between 2 curves
Area by Integration - Problem Solving

Challenge Quizzes

Area Between Curves: Level 3 Challenges
Area Between Curves: Level 5 Challenges

Area between Curve and x-axis

Find the area of the region bounded by $y \geq x^2 - 25$ and $y \leq 0$ .

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What is the area of the region bounded by the curve $y= 9{x}^2-54x$ and the $x$ -axis ?

324 328 320 332

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What is area of the region bounded by the curve $y = \sqrt{x}$ and the $x$ -axis in the interval $0 \leq x \leq 4?$

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Consider the region bounded by the curve $f(x)= x(x-b)(x-a)$ and the $x$ -axis, where $b=5$ and $a > 5$ . If the bounded region above the $x$ -axis and the bounded region below the $x$ -axis have the same area, what is the value of $a ?$

10 9 12 11

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Let $C$ be the curve obtained by a parallel translation of the curve $y=a{x}^2$ $(a>0)$ by $4$ units in the positive direction of the $x$ -axis. If the area of the region bounded by the curve $y=a{x}^2 ,$ the curve $C,$ and the $x$ -axis is $16,$ what is $a?$

2 4 5 3

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