# How do you find the area #y = f(x) = 4/x^2# , from 1 to 2 using ten approximating rectangles of equal widths and right endpoints?

##### 1 Answer

Sep 24, 2015

See the explanation.

#### Explanation:

The bases of the rectangles are the subintervals:

The right endpoints are :

Use these to find the height of the rectangles:

So the areas of the rectangles are

# = (4/1.1^2+4/1.2^2 + * * * +4/1.9^2+4/2^2)Delta x#

# = (4/1.1^2+4/1.2^2 + * * * +4/1.9^2+4/2^2)(0.1)#

Now do the arithmetic.