Thursday

October 30, 2014

October 30, 2014

Posted by **Akansha** on Tuesday, May 10, 2011 at 7:26pm.

and

find the area of the region bounded by the curve y=e^2x -3e^x + 2 and the x-axis?

- Calculus -
**Damon**, Tuesday, May 10, 2011 at 8:25pmWhere do they intersect?

3x = x^3 + 2 x^2

x^3 + 2 x^2 - 3 x = 0

x (x^2 + 2x -3) = 0

x (x+3)(x-1) = 0

intersect at x = -3, 0, 1

from x = -3 to x = 0 the cubic is above the line so in that domain the area is integral [ x^3 + 2 x^2 - 3 x] dx

from x = 0 to x = 1 the line is above the cubic so in that domain the area is

integral [ 3 x - x^3 - 2 x^2] dx

**Answer this Question**

**Related Questions**

Calculus - 1. Find the area of the region bounded by the curves and lines y=e^x ...

calculus - 1. Find the area of the region bounded by f(x)=x^2 +6x+9 and g(x)=5(x...

calculus - A region is bounded in the second quadrant by the curve y = ln(1–x), ...

Calculus - Let f be the function given by f(x)=(x^3)/4 - (x^2)/3 - x/2 + 3cosx. ...

calculus - A region is bounded by the function y=2x^2+3 and the x-axis over the ...

Calculus - The region R is bounded by the x-axis, x = 1, x = 3, and y = 1/x^3 A...

calculus - let R be the region bounded by the x-axis, the graph of y=sqrt(x+1), ...

calculus - 10). Find the area of the region bounded by the graph of f(x)=4lnx/x...

math, calculus - 1. Consider the region bounded by the curves y=|x^2+x-12|, x=-5...

calculus - Find the volume of the solid generated by revolving the region about ...