MCQ
Area bounded by the lines $y = x,\,\,x = - 1,\,\,x = 2$ and $x - $ axis is
- ✓$\frac{5}{2}\,\, sq. \,unit$
- B$\frac{3}{2}\,\, sq. \,unit$
- C$\frac{1}{2}\,\, sq. \,unit$
- DNone of these
✓
Answer
Correct option: A.
$\frac{5}{2}\,\, sq. \,unit$
a
(a) Required area $\int_{ - 1}^2 {\,y\,dx} $
(a) Required area $\int_{ - 1}^2 {\,y\,dx} $
$= \int_{ - 1}^0 {\,y\,.\,dx + \int_0^2 {y\,.\,dx = \frac{5}{2}} } \,\, sq. \,unit$.
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