a.) Calculate the arc length of y=x^2 from [0,1]
- For this one I used the formula the for arc length and got stuck once I used trig substitution.
b.) Compute the surface area of revolution about the x-axis for y=x^2 from [0,4]
- For this problem I used the formula surface area of revolution, but when I plugged my results in my calculator I got -6,036, which I'm assuming is incorrect.
here's what wolfram alpha shows ...
integral of x^2*sqrt(1+4x^2) - Wolfram|Alpha