Q. 4 - Calculus

Question

Approximate the area between the graph $f\left(x\right)=x^2$ and the x-axis from x=0 to x=4 by using four rectangles include the picture of the rectangle you are using

Step-by-Step Solution

Answer

The area in between the function is approximately 16 sq.units

Step 1: Given information

We are given a function $f\left(x\right)=x^2$

Step 2: plot the graph of the function

We get,

Step 3: Now using rectangle find the area

We get,

And also

Hence total area can be given as

$3+6+5+2=16sq.units$