What is the area of the part of this region…

What is the area of the part of this region above the x-axis?

Question 72

MediumOriginal question

The parabola $y^{2} = 4x$ has its focus at $(1, 0)$ , and its latus rectum is the chord $x = 1$ .

What is the area of the part of this region above the $x$ -axis?

\frac{2}{3}

square unitsCorrect answerYour answer

\frac{4}{3}

square unitsCorrect answerYour answer2 square unitsCorrect answerYour answer

\frac{8}{3}

square unitsCorrect answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

Worth noting

$\frac{2}{3}$ integrates $\sqrt{x}$ , forgetting the factor 2 in $y = 2\sqrt{x}$ .

Ten questions from Area of Bounded Regions, at your own pace.

Ten questions from Area of Bounded Regions, at your own pace.