Homework SourseUse Simpsons Rule with n10 to approximate the area of the su
Use Simpson\'s Rule with n=10 to approximate the area of the surface obtained by rotating the curve
y= sqrt(1+e^x), 0<=x<=1 about the x-axis.
Include at least five decimal places in your answer.
Area=
y= sqrt(1+e^x), 0<=x<=1 about the x-axis.
Include at least five decimal places in your answer.
Area=
Solution
f(x) = (0.1/3)( f(0) + 4f(0.1) + 2f(0.2) + 4f(0.3) + 2f(0.4) + 4f(0.5) + 2f(0.6) + 4f(0.7) + 2f(0.8) + 4f(0.9) + f(1) ) = (0.1/3)*(1+4+2+4+2+4+2+4+24+1+4e^0.1+2e^0.2+4e^0.3+2e^0.4+4e^0.5+2e^0.6+4e^0.6+2e^0.7+2e^0.8+4e^0.9+e) = 3.393
