# What is the arc length of #f(x) = x^2e^(3x) # on #x in [ 1,3] #?

##### 1 Answer

Nov 15, 2016

By the product rule:

The Arc Length is given by:

This definite integral does not have an intrinsic solution and would need to be solved numerically, using either a computer or estimated using the Trapezium Rule or Simpson's Rule