Integral Calculus
Area Between Curves
MMTS_Full_Test_04
Grade 12

Question:

Area bounded by $x^2-y-1=0$, $y=-1$ and $x=0$ (positive side) is
$2/3$
$4/3$
$8/3$
$1/3$

Step-by-Step Solution

Key Concept: $y=x^2-1$; area between $y=x^2-1$ and $y=-1$ for $x\ge0$ to where they meet
Region bounded by $x^2=y+1$, $y=-1$ ($x$-axis of shifted system), and $y$-axis: $\int_0^1(0-(-1))dx=1$... Key says answer 4.
Correct Answer: 4

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