Question

Area of the region bounded by the curves

y = x² + 2, y = – x, x = 0 and x = 1 is –

• A. $\frac{17}{6}$
• B. $\frac{5}{16}$
• C. $\frac{3}{16}$
• D. None of these

Answer 1

Answer: (A)

$\frac{17}{6}$

Answer 2

x² = y – 2 … (1)

y = –x … (2)

Required area =$\int_{0}^{1}{(x^{2} + 2)}$dx + $\left| \int_{0}^{1}{- xdx} \right|$ = $\frac{7}{16}$.

(on calculation)