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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
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B
56
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C
35
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D
13
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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 units
Hence choice (b) is correct answer.
723018_694562_ans_29dda0261bad4ac5b5abf4715812c6ab.png

Mathematics

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