If f(x)=\{b^{2}+(a-1) b+2\} x -\\int(\sin ^{2} x+\cos ^{4} x) d x be an increasing function of x \\in R and b \\in R,then sum of all possible integral values of a is

JEE Advanced 2021 Full Test 3 Paper 2

SECTION – B (Single Digit Integer Type)
This section contains 06 questions. The answer to each question is a Single Digit integer ranging from 0 to 9, both inclusive.

Question : 43 of 54

Marks: +1, -0

If f(x)={b2+(a−1)b+2}x −∫(sin2x+cos4x)dx be an increasing function of x∈R and b∈R,then sum of all possible integral values of a is

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