Definite Integration Question 481

Question: Area under the curve $ y=x^{2}-4x $ within the x-axis and the line $ x=2 $ , is

[SCRA 1991]

Options:

A) $ \frac{16}{3}sq.unit $

B) $ -\frac{16}{3}sq.unit $

C) $ \frac{4}{7}sq.unit $

D) Cannot be calculated

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Answer:

Correct Answer: A

Solution:

$ \int_0^{2}{(x^{2}-4x)dx=[ \frac{x^{3}}{3}-\frac{4x^{2}}{2} ]_0^{2}=\frac{16}{3}sq.} $ unit.