# How do you use the trapezoidal rule with n=2 to approximate the area between the curve y=x^2 from 1 to 5?

Sep 28, 2015

34 square units

#### Explanation:

The problem is perhaps to find the area between the given curve and the x axis, from x=1 to x=5, with two intervals.

With n=2, the two intervals would be from x=1 to x=3 and from x=3 to 5. The two trapezoids so formed would have a width of two units.

Sum of the area of two trapezoids would be$\frac{1}{2} \cdot 2 \left[f \left(1\right) + f \left(3\right) + f \left(3\right) + f \left(5\right)\right]$

= [1+9+9+25]= 34 square units.