Let `f(x)=[-c^2+(b-1)c-2)]x+int(sin^2x+cos^4x)dx.` If `f(x)` be an increasing function of `x AA x in R` then all possible values of `b` if `(c in R).`

Let f(x)=[b^(2)+(a-1)b+2]x-int(sin^(2)x+cos^(4)x)dx be an increasing function of x""inRandbinR , then " a " can take value(s)

Let f(x)=[b^(2)+(a-1)b+2]x-int(sin^(2)x+cos^(4)x)dx be an increasing function of x""inRandbinR , then a can take value(s)

Let f(x)={b^(2)+(a-1)b-(1)/(4)}x+int_(0)^(x)(sin^(4)theta+cos^(4)theta)d theta If f(x) be a non- decreasing function AA x in R and AA b in R then "a" can belong to

Let f(x)={b^(2)+(a-1)b-(1)/(4)}x+int_(0)^(x)(sin^(4)theta+cos^(4)theta)d theta If f(x) be a non- decreasing function AA x in R and AA b in R then "a" can belong to

Let f(x) be a funtion defined by f(x)=(ab-a^(2)-2)x-int_(0)^(x)(cos^(4)t+sin^(2)t-2)dt If f(x) is a decreasing function for all x in R and for all a in R where a is independent of x then b belongs to

Let f(x) is continous function and f'(x) exist AA x in R .If f(2)=10 and f'(x)>=-3AA x in R , then least possible value of f(4)

If f(x)=x^3+3x^2+4x+ bsinx+ c cosx AA x in R is a one-one function then the value of b^2 + c^2 is

If f(x)=x^3+3x^2+4x+ bsinx+ c cosx AA x in R is a one-one function then the value of b^2 + c^2 is

If f(x)=x^3+3x^2+4x+ bsinx+ c cosx AA x in R is a one-one function then the value of b^2 + c^2 is