Last updated on Oct 23, 2026

Area Between Curve and y-axis (Leaving Cert Mathematics): Quizzes

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Area Between Curve and y-axis

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What is the integral formula for the area between a curve and y-axis?

$\int x \, dy$ from $y_1$ to $y_2$

What is the integral for the shaded area between $y=6x^{3/2}$ and the x-axis from 0 to 1?

$\int_0^1 6x^{3/2} dx$

What is the exact area between $y = 3 + \sqrt{x+2}$ and y-axis from $x=2$ to $14$ ?

$\int_5^7 (y^2-6y+7) dy$

What integral gives the area between $y = x^3$ and y-axis from $y = 8$ to $27$ ?

$\int_8^{27} y^{1/3} dy$

What is the value of $\int_5^7 (y^2 - 6y + 7) dy$ ?

$\frac{44}{3}$

What is the value of the integral $\int_5^7 (y^2 - 6y + 7) dy$ ?

$\frac{44}{3}$

Which integral gives the area between a curve and the y-axis?

$\int_{y_1}^{y_2} x \, dy$

First step when finding area between curve and y-axis?

Rearrange to $x = f(y)$

Evaluate $\int_4^{16} y^{1/2} dy$ .

$112/3$

Area of shaded region for $y = 3+\sqrt{x+2}$ between $x=2$ and $x=14$ equals?

$\frac{44}{3}$

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Average Value of a Function

Area Under/Between Curves

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