## How can you determine the area of a particular region by using integration?

A definite integral can be used to find the area under a curve that runs between two points. You can find the area below the curve y=f(x) if you subtract x(a) from x(b).

**What does integrating with respect to X mean? **

The term “with respect to” simply means that x is what we are changing and that we want to see how it reacts to changes in that variable. We would again use implicit differentiation, but this time the variable of differentiation would not be y, but x.

### What is the area of the shaded region of the rectangle?

The area of the shaded regions is the difference in the areas of the square and the rectangle. The dimensions of the rectangle are 6 by 8 and so the area is 6 times 8 , that is 48 square units. Each side of the square measures two units, so the area is twice as large, or 4 square units.

**What’s the area of the Coloured Square? **

90 sq

## What is the area of the inner square?

If found, one can then determine the inner square area as (a-b),*(a-b). For a and B, take I as the upper right corner of inner square. Pythagorean rule=root 1*1 + (.) AIF can also be found.

**How do you find the area of a missing square? **

Correct Answer: To determine the area of any quadrilateral, multiply its length at its base by its height. We know that the shape of this quadrilateral is square. This means that all sides are equal in length. We can then work backwards using the square root to determine the length of one of the sides.

### How does the area of the outer square compare with the area of the inner square?

The area of the outer quadrant is twice the area of its inner counterpart.

**What is the ratio of the area of the inner square to the area of the outer square? **

Also find the ratio that makes the area of the inner square equal to 50% of the outer square….

b=distance from vertex | 2. 67949 |
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answer | |

solution | |

steps | 1 2 3 |