Find the area of the region between the graph of y = x(1+3x^2)^3 and the x-axis, from x=0 to x=1/3
This one has also got me torn...
The region between x=0 and x=1/3 is positive everywhere, so we can just calculate:
It is possible to solve this integral either by expanding out the expression term by term or you can avoid most of the algebra by using a substitution with .