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Q.

The area between the curve $x y = a^{2}, x = a, x = 4 a$ and X–axis is

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a

a log2

b

2a² log2

c

a² log2

d

log a

answer is B.

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Detailed Solution

$A r e a = \int_{a}^{4 a} \frac{a^{2}}{x} d x = a^{2} {(\ln x)}_{a}^{4 a} = a^{2} \ln 4 = 2 a^{2} \ln 2$

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The area between the curve xy = a2, x = a, x = 4a and X–axis is