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WAEC Further Mathematics 2019 Question 35

Question 35

Integration

Find, the area between line y = x + 1 and the x − axis from x = −2 to x = 0.

  1. A.5 square units
  2. B.4 square units
  3. C.2 square units
  4. D.1 square unit
Show the answer and explanation

Answer: D (1 square unit)

Explanation

The line crosses the x-axis at x = −1. From −2 to −1 the region is a triangle of area ½ (below the axis) and from −1 to 0 another of area ½. Total area = 1 square unit.