The area of the closed figure bounded by $ x=-1, x=2 $ and $ y=\left\{\begin{array}{cl}-x^{2}+2, & x \leq 1 \ 2 x-1, & x1\end{array}\right. $ and the $ x $-axis is

Question

The area of the closed figure bounded by $ x=-1, x=2 $ and $ y=\left\{\begin{array}{cl}-x^{2}+2, & x \leq 1 \ 2 x-1, & x>1\end{array}\right. $ and the $ x $-axis is, $ \frac{16}{3} $ sq. units, $ \frac{10}{3} $ sq. units, $ \frac{13}{3} $ sq. units, $ \frac{7}{3} $ sq. units

MARKS App · Accepted Answer

A = ∫ - 1 1 - x 2 + 2 d x + ∫ 1 2 2 x - 1 d x = - x 3 3 + 2 x - 1 1 + x 2 - x 2 = 16 3 s q . u n i t s

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