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 &#160; &#160; &#160; : &#160; &#160; x &#60; 0 4 - 2 x &#160; &#160; &#160; : &#160; &#160; x &#8805; 0 , then the area bounded by y = f x and the x -axis from x = - 1 to x = 3 is equal to

Quantrex Academy · Accepted Answer

Correct answer: B. 28 3 sq. units

Required area = &#8747; - 1 0 x 2 + 4 d x + 1 2 &#215; 4 &#215; 2 + 1 = x 3 3 + 4 x - 1 0 + 4 + 1 = 1 3 + 4 + 5 = 28 3 sq. units

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

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Correct answer

Step-by-step solution

More from Area Under Curves

Let f x = x 2 + 4 &#160; &#160; &#160; : &#160; &#160; x &#60; 0 4 - 2 x &#160; &#160; &#160; : &#160; &#160; x &#8805; 0 , then the area bounded by y = f x and the x -axis from x = - 1 to x = 3 is equal to

Options

Correct answer

Step-by-step solution

More from Area Under Curves

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