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If f(x)={b^(2)+(a-1)b+2}x-int(sin^(2)x+c...

If `f(x)={b^(2)+(a-1)b+2}x-int(sin^(2)x+cos^(4)x)dx` be an increasing function of `xepsilonR` and `bepsilonR`, then a can take value (s)

A

0

B

1

C

2

D

4

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
`:' f^(')(x)=b^(2)+(a-1)b+2-(sin^(2)x+cos^(4)x)ge0`
`(f^(')(x))_("min")=b^(2)(a-1)b+1ge0`
`:.(a-1)^(2)-4lt0impliesaepsilon(-1,3)`
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