Homework Help: CALC - area under a curve

Posted by anonymous on Thursday, March 6, 2008 at 6:44pm.

You have an unknown function that is monotone increasing for 1<x<5 and have the following information about the function values. With the clear understanding that there is no way to get an exact integral, how would you try and approximate the area under the curve?
X=(1, 1.2, 1.6, 2.8, 2.9, 3.3, 3.6, 4, 4.2, 4.8, 5)
Y = (3.170, 3.505, 4.317, 8.516, 9.041, 11.528, 13.885, 17.873, 20.312, 29.982, 32.724)

CALC - area under a curve - bobpursley, Thursday, March 6, 2008 at 7:15pm
area= sum y*deltax

start at x=1, make a table
deltax yavg
.2 (6.675/2=?)
.4 (3.505+4.317)/2
and so on, then add the products of yavg*dx

Answer this Question

Related Questions

Math - You have an unknown function that is monotone increasing for 1 < x...
Math Calculus - You have an unknown function that is monotone increasing for 1 &...
Math - a) Is âˆ«[-1 to 1]e^x^3 dx positive, negative, or zero? ...
Calculus - It is given that a differentiable function f(x)=4x^3+kx^2-36x-15 (k ...
calc - Consider the function below. (Round the answers to two decimal places. f(...
statistics - Find the area under the standard normal curve for the following: (A...
calculus - In the following problem, suppose f(x) is continuous (and ...
Calc - This is a piecewise function on one graph: f(x)= 3, -4 <or= x &...
math - let fbe a function that is even and continuous on the closed interval [0,...
math -- Calc - 1. A car travels 20 mi/hr for 2 hours and then 30 mi/hr for 3 ...

For Further Reading

First Name:
School Subject:
Answer: