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Question
The area bounded by y = `27/x^3`, X-axis and the ordinates x = 1, x = 3 is ______
Options
12
14
log 2
log 4
MCQ
Fill in the Blanks
Solution
The area bounded by y = `27/x^3`, X-axis and the ordinates x = 1, x = 3 is 12.
Explanation:
Required area = `int_1^3(27/x^3)dx = |[-27/(2x^2)]_1^3|`
= |(-1.5) - (-13.5)|
= 12
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