# calculus

posted by .

You are given the four points in the plane A = (-3,7), B = (-1,-6), C = (4,6), and D = (6,-1). The graph of the function f(x) consists of the three line segments AB, BC and CD. Find the integral interval -3 to 6 f(x)dx by interpreting the integral in terms of sums and/or differences of areas of elementary figures.

I got 18.4555, but it was wrong

• calculus -

i tried a different approach and got 1.5 but its still wrong

• calculus -

Did you graph the lines?
Let the points a,b,c,d be on the x-axis above or below A,B,C,D

AabB is a trapezoid with bases 7,6, height 2

BbcC is a rectangls 5x6

CcDd is a triangle of height 7 and width 2

However, part of the triangle is below the x-axis, making it a negative area.

Positive area is a triangle 6 by 12/7
Negative area is a trapezoid with bases 12/7 and 2, height 1

[(7+6)/2 * 2] + [5*6] + [6 * 12/7 * 1/2] - [(12/7 + 2)/2*1]
= 13 + 30 + 36/7 - 13/7
= 43 - 23/7 = 39 5/7 = 39.71

better check my math here

• calculus -

no, the answer is 6, you separate the triangles, find the area and add them up

## Similar Questions

1. ### calculus

Help! I have a test tommorow! I don't understand (b), (c), (e), and (g). The answers are listed following the each question. Here's a discription of the graph: There is a graph of a function f consists of a semi circle (-3 to 1 faced …
2. ### calculus

Two runners, A and B run on a straight race track for 0</=t</=10 seconds. The graph below, which consists of two line segments, shows the velocity, in meters per second, of runner A. The velocity of runner B, in meters per second, …
3. ### Calculus

You are given the four points in the plane A=(7,4) ,B=(9,-3) ,C=(13,5) , and D=(16,-2 . The graph of the function consists of the three line segmentsAB ,BC and CD . Find the integral between x= 16 and x= 7 by interpreting the integral …
4. ### math

You are given the four points in the plane a=(-2,2), b=(1,-3), c=(3,6), and d=(7,-3). The graph of the function consists of the three line segments AB, BC and CD. Find the integral by interpreting the integral in terms of sums and/or …
5. ### math/calculus

You are given the four points in the plane A(-3,6),B(0,-6),C(5,7),D(8/-7) . The graph of the function f(x) consists of the three line segments AB ,BC and CD . Find the integral f(x)from -3 to by interpreting the integral in terms of …
6. ### math/calculus

You are given the four points in the plane A(-3,6),B(0,-6),C(5,7),D(8/-7) . The graph of the function f(x) consists of the three line segments AB ,BC and CD . Find the integral f(x)from -3 to by interpreting the integral in terms of …
7. ### Math: Calculus

You are given the four points in the plane A = (5,-6), B = (9,1), C = (14,-6), and D = (19,2). The graph of the function f(x) consists of the three line segments AB, BC and CD. Find the integral f(x)dx from 5 to 19 by interpreting …
8. ### geometry

Trisha drew a pair of line segments starting from a vertex. Which of these statements best compares the pair of line segments with the vertex?
9. ### Calculus

Given the function y=(x^2-5/x+3), answer the following questions. a) Find dy/dx. Simplify your answer b) Find the coordinates of any points on the graph of y where the tangent line is horizontal. Show your work. c) Are there any points …
10. ### Math

We are learning about proofs. We drew lines between noncollinear points. Our table showed 2 points >> 1 line segment, 3 point >> 3 line segments, 4 points >> 6 line segments, 5 points >> 10 line seg, 6 points …

More Similar Questions