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Let I=undersetaoversetbint(x^4-2x^2)dx. ...

Let `I=undersetaoversetbint(x^4-2x^2)dx`. If is minimum, then the ordered pair (a, b) is

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The correct Answer is:
4
`I=int_(a)^(b)(x^(4)-2x^(2))dx`
Consider `f(x)=x^(4)-2x^(2)=x^(2)(x^(2)-2)`
Obviously `int_(a)^(b)(x^(4)-2x^(2))dx` is least when `a=-sqrt2` and `b=sqrt2`
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VMC MODULES ENGLISH-JEE MAIN REVISION TEST - 4 JEE - 2020-MATHEMATICS
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