In this post, you’ll find the formula used to find area by integration.
Finding area between curve and x-axis
To find the area bounded by the curve y = f(x), the x-axis, the lines x= a and x= b:
![Using integration to finding area bounded by the curve y = f(x), the x-axis, the lines x= a and x= b.](https://emilylearning.com/wp-content/uploads/2023/08/image-161.png)
![](https://emilylearning.com/wp-content/uploads/2023/08/image-159.png)
Note that area is a positive value. Hence, if the area lies beneath the x-axis, you’ll need to add | | or a negative sign in front of it to make it positive.
To find the area bounded by the curve x = g(y), the y-axis, the lines y= a and y= b:
![Using integration to find the area bounded by the curve x = g(y), the y-axis, the lines y= a and y= b.](https://emilylearning.com/wp-content/uploads/2023/08/image-162.png)
![](https://emilylearning.com/wp-content/uploads/2023/08/image-160.png)
Note that area is a positive value. Hence, if the area lies beneath to the left of the y-axis, you’ll need to add | | or a negative sign in front of it to make it positive.