Area Question 52

Question 52

  1. Find the area bounded by the X-axis, part of the curve y=1+8x2 and the ordinates at x=2 and x=4. If the ordinate at x=a divides the area into two equal parts, then find a.

(1983, 3M)

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Solution:

  1. Here, 2a1+8x2dx=a41+8x2dx

x8xa=x8xa4 a8a(24)=(42)a8a

a8a+2=2a+8a2a16a=0 2(a28)=0 a=±22 [neglecting  ve sign]  a=22



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