Question

# Let $$f(x) = x^{2} - 3x + 2\forall x\epsilon R$$ then area bounded by $$f(x)$$, x-axis and y-axis in square meter is

A
23
B
56
C
35
D
13

Solution

## The correct option is D $$\dfrac {5}{6}$$$$\because f(x) = x^{2} - 3x + 2 = (x - 1)(x - 2)$$$$\therefore$$ Required area $$= \int_{0}^{1} f(x) dx$$$$= \int_{0}^{1} (x^{2} - 3x + 2) dx = \dfrac {5}{6}$$ Square unitsHence choice (b) is correct answer.Mathematics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More