CalculusCourse skill

Area above the horizontal axis

Calculate an area between a curve and the horizontal axis.

  • Find the limits from the question or from where the curve meets the axis.
  • If on , the area is .
  • State the answer in square units.

Example 1

Find the shaded area.

The shaded region between the labelled curves and the stated limits.
Integrate upper minus lower.Find an antiderivative.Substitute the limits.

Example 2

Find the shaded area.

The shaded region between the labelled curves and the stated limits.
Integrate upper minus lower.Find an antiderivative.Substitute the limits.

Your turn

Question 1

Find the shaded area.

The shaded region between the labelled curves and the stated limits.
Check answer
Integrate upper minus lower.Find an antiderivative.Substitute the limits.

Area is measured in square units.

Question 2

Find the shaded area.

The shaded region between the labelled curves and the stated limits.
Check answer
Integrate upper minus lower.Find an antiderivative.Substitute the limits.

Area is measured in square units.

Question 3

Find the shaded area.

The shaded region between the labelled curves and the stated limits.
Check answer
Integrate upper minus lower.Find an antiderivative.Substitute the limits.

Area is measured in square units.

Question 4

Find the shaded area.

The shaded region between the labelled curves and the stated limits.
Check answer
Integrate upper minus lower.Find an antiderivative.Substitute the limits.

Area is measured in square units.

Question 5

Find the shaded area.

The shaded region between the labelled curves and the stated limits.
Check answer
Integrate upper minus lower.Find an antiderivative.Substitute the limits.

Area is measured in square units.

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