Question

Select correct option from the given options

Answer 1

HEY MATE!

THE ANSWER IS OPTION C

Answer 2

Answer:

(b) 2

Step-by-step explanation:

We have to get the value of ∫₋₁¹|1-x| dx.

Now, from the definition of modulus function, we have

|1-x| =1-x  when 1-x ≥0, i.e. x≤1

and  |1-x| =x-1  when 1-x <0, i.e. x>1

Now, since the limit of x is between -1 to 1 i.e. x≤1, then  

∫₋₁¹|1-x| dx =   ∫₋₁¹(1-x) dx =[x-x²/2]₋₁¹ =[(1-1/2)-(-1-1/2)] =1/2+3/2 =2 .

So, the correct option is (b). (Answer))