What is the area of the region of the parabola…

What is the area of the region of the parabola y^2 = 4x between the lines x = 1 and x = 4?

Question 82

HardOriginal 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 region of the parabola $y^{2} = 4x$ between the lines $x = 1$ and $x = 4$ ?

\frac{28}{3}

square unitsCorrect answerYour answer12 square unitsCorrect answerYour answer

\frac{56}{3}

square unitsCorrect answerYour answer

\frac{64}{3}

square unitsCorrect answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Worth noting

$\frac{64}{3}$ runs from $x = 0$ , counting the part up to the latus rectum as well.

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

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