SOLUTION: sketch the curve and find the area between curve and the x axis for the given bounds a. y =x3+x2-2x between x=-3 and x=2

Algebra ->  College  -> Linear Algebra -> SOLUTION: sketch the curve and find the area between curve and the x axis for the given bounds a. y =x3+x2-2x between x=-3 and x=2      Log On


   



Question 1175466: sketch the curve and find the area between curve and the x axis for the given bounds
a. y =x3+x2-2x between x=-3 and x=2

Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Highly Recommend: FREE graph software  https://www.padowan.dk/download/ 

a. y =x^3+x^2-2x between x=-3 and x=2

Area = .4167  (Using Graphing Software)
Screen Shot:


Wish You the Best in your Studies.


Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
from x=+-3 to x=2

int%28%28x%5E3%2Bx%5E2-2x+%29dx%29=+int%28%28x%5E3%29dx%29 ++int%28%28x%5E2+%29dx%29 ++int%28%28-2x%29dx%29+
int%28%28x%5E3%2Bx%5E2-2x+%29dx%29=+int%28%28x%5E3%29dx%29 ++int%28%28x%5E2+%29dx%29 -+int%28%282x%29dx%29+

+int%28+%28x%5E3%29dx%29=-65%2F4....you get that when you apply the Power Rule :
int%28+x%5Ea%2Adx%29=x%5E%28a%2B1%29%2F%28a%2B1%29, where a%3C%3E+-1
same with
+int%28+%28x%5E2%29dx%29 =35%2F3
+int%28+%282x%29dx%29 =-5
+int%28+%28x%5E3%2Bx%5E2-2x+%29dx%29 =-65%2F4%2B35%2F3-5
+int%28+%28x%5E3%2Bx%5E2-2x+%29dx+%29 =5%2F12
+int%28+%28x%5E3%2Bx%5E2-2x+%29dx+%29+0.41667