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Find the area bounded by the parabola y = 2 - x2 and the straight line y + x = 0. |
9/2 4/3 5/2 3/4 |
9/2 |
To get A & B, solve y = 2 - x2 and x + y = 0
⇒ A ≡ (–1, 1) & B ≡ (2, –2) ⇒ Shaded Area = $\int\limits_{-1}^2[(2-x^2)-(-x)]dx=\frac{9}{2}$ |
