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 2 curves

What is the area of the region bounded by the two curves $y= -{x}^2+2x+13, y= {x}^2 + 9 ?$

9 7 8 10

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by Brilliant Staff

If $m$ is a positive real number such that the area of the region bounded by the curve $y={x}^2-x$ and the line $y=mx$ is $\frac{32}{3},$ what is $m?$

3 4 5 6

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Compute the area bounded by the curve $y = x^3 - 6x^2 + 9x$ and the line $y = x$ .

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by Brilliant Staff

What is the area of the region bounded by the curves $y= {e}^x - 1, y= 4e^{-x} - 1, y=0?$

\ln 3

2- 2\ln 2

\ln 5

1+ \ln 2

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by Brilliant Staff

What is the area of the region bounded by the curve $y= -{x}^2+6x$ and the line $y=-8x ?$

\frac{1372}{3}

\frac{1366}{8}

\frac{1378}{8}

\frac{1378}{3}

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by Brilliant Staff

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