sketch the region enclosed by y = 3x and y = 5x^2. Decide wether to integrate with respect to x or y. What is the area of the region?
(I get and ).
You'll nearly always integrate with respect to x and this is no exception
If you sketch a graph it will help give you an idea of the area. From what I can gather between 0 and 0.6: 3x will increase faster than 5x^2 so the integral becomes
Therefore your integral should be
This gives the answer