Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. HINT [See Example 3.]
Enclosed by y = x and y = x^4
Can you please give me a definitive answer? For some reason I get to the final integral but am unable to solve it.
just by inspection or looking at a sketch of the graph, they
intersect at (0,0) and (1,1) so we need
∫ (x - x^4) dx from 0 to 1
looks very straightforward ...
= [x^2 / 2 - x^5 / 5] from 0 to 1
= 1/2 - 1/5 - 0
= 3/10