Area between a curve

• May 13th 2012, 09:54 AM
titansfreak93
Area between a curve
Find the area of the region between y=3e^(-2x) and y=lnx for 1<x<2. Round your answer to three decimal places.
• May 13th 2012, 11:00 AM
skeeter
Re: Area between a curve
Quote:

Originally Posted by titansfreak93
Find the area of the region between y=3e^(-2x) and y=lnx for 1<x<2. Round your answer to three decimal places.

$3e^{-2x} = \ln{x}$ at $x \approx 1.268$

$A = \int_1^{1.268} 3e^{-3x} - \ln{x} \, dx + \int_{1.268}^2 \ln{x} - 3e^{-2x} \, dx$