If f(x)=asinx+x+2 is strictly increasing function then number of possible integral values of ′a′ are
We have,
f(x)=asinx+x+2
On differentiating and we get,
f′(x)=acosx+1
For maximum and minimum
f′(x)=0
acosx+1=0
For increasing and decreasing value
0<acosx<1
Hence, this is the answer.