Question
Answer: Option B
:
B
The area can be divided into strips by drawing ordinates between x = 0 and x = 6 at a regular interval of dx. Consider the strip between the ordinates at x and x + dx. The height of this strip is y=x2. The area of this strip is dA = y dx= x2dx.
The total area of the shaded part is obtained by summing up these strip-areas with x varying from 0 to 6. Thus
A=6∫0x2dx
=[x33]60=216−03=72
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:
B
The area can be divided into strips by drawing ordinates between x = 0 and x = 6 at a regular interval of dx. Consider the strip between the ordinates at x and x + dx. The height of this strip is y=x2. The area of this strip is dA = y dx= x2dx.
The total area of the shaded part is obtained by summing up these strip-areas with x varying from 0 to 6. Thus
A=6∫0x2dx
=[x33]60=216−03=72
Was this answer helpful ?
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