Fill in the blanks: 1. 2. Let f(x) be a continuous real valued function defined on the closed interval [a, b]. Divide the interval [a,b] into n equal parts each of width h by points a +h, a+2h, a + 3h,..., a+ (n-1) h. Then,h+h+...+h= n times If n increases, the number of rectangles will increases and the. will decrease. 3. The area of region bounded by curve y=.. ...of rectangles x-axis and the ordinates x = a, x=bis lim h[f(a)+f(a+h) + f(a+2h)+ f(a+3h)+...+f(a+n-1h] where h= 4. The area in the case of limit as a sum is also the b-a n .....value of any area which is among that of the rectangles beneath the curve and that of the rectangles over the curve. 5. [f(x)dx = lim h h0 where nh=b-a.