CUET Preparation Today
CUET
-- Mathematics - Section B1
Application of Integrals
Let I=b∫a(x4−2x2)dx. The ordered pair (a, b) for which I attains the least value, is
(0,√2)
(√2,−√2)
(−√2,2)
(−√2,0)
Clearly, the absolute value of I represents the area bounded by the curve y=x4−2x2 and x-axis. So, the value of I is least when a=−√2 and b=√2.
