Definite Integration Question 210

Question: Area bounded by the lines $ y=x,x=-1,x=2 $ and $ x- $ axis is

Options:

A) $ \frac{5}{2} $ sq. unit

B) $ \frac{3}{2} $ sq. unit

C) $ \frac{1}{2} $ sq. unit

D) None of these

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Answer:

Correct Answer: A

Solution:

Required area $ \int _{-1}^{2}{ydx}=\int _{-1}^{0}{y.dx+\int_0^{2}{y.dx=\frac{5}{2}}} $ sq. unit.