Question

Use the Trapezoidal Rule and Simpson's Rule to approximate the area of the shaded region
http://i.imgur.com/7rrcsvx.png

Any help? I'm very lost >.<

Answer 1

so what exactly u dont understand?
just use the formula

Answer 2

Well for the Trapezoidal Rule you're going to break up the graph into 8 trapezoids and add up all of their areas.

The area for a trapezoid is
\[A_{trapezoid} = h*\frac{b_{1} + b_{2}}{2}\]


You add up all of these areas and that's how you get the formula.

Also, h will be equal to (b-a)/n

Answer 3

I got the answer is 52, thank you
And how about the Simpson Rule?