Read the following information carefully and answer the questions given below.

Consider the function

f(x) = | x $$-$$ 1 | + x², where x $$\in $$ R.

What is the area of the region bounded by X-axis, the curve y = f(x) and the two ordinates $$x = {1 \over 2}$$ and x = 1 ?

Read the following information carefully and answer the questions given below.

Consider the function

f(x) = | x $$-$$ 1 | + x², where x $$\in $$ R.

What is the area of the region bounded by X-axis, the curve y = f(x) and the two ordinates x = 1 and x = $${3 \over 2}$$ ?

The area bounded by the curve | x | + | y | = 1

What is the are of the region bounded by the parabolas y² = 6(x $$-$$ 1) and y² = 3x ?