Let f x = x 2 + 4 : x 0 4 - 2 x : x ≥ 0 , then the area bounded by y = f x and the x -axis from x = - 1 to x = 3 is equal to

Question

Let f x = x 2 + 4 : x 0 4 - 2 x : x ≥ 0 , then the area bounded by y = f x and the x -axis from x = - 1 to x = 3 is equal to, 9 sq. units, 28 3 sq. units, 29 3 sq. units, 27 Sq. units

MARKS App · Accepted Answer

Required area = ∫ - 1 0 x 2 + 4 d x + 1 2 × 4 × 2 + 1 = x 3 3 + 4 x - 1 0 + 4 + 1 = 1 3 + 4 + 5 = 28 3 sq. units

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