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 = x4
4 answers
its is x^4 if anyone want to help
The curves intersect at (0,0) and (1,1)
so the area is just
∫[0,1] (x - x^4) dx = ____
so the area is just
∫[0,1] (x - x^4) dx = ____
Can you give me a definitive answer? For some reason I can't quite get the answer from that function
really? Just apply the power rule
∫x^n dx = 1/(n+1) x^(n+1)
so,
∫[0,1] (x - x^4) dx = 1/2 x^2 - 1/5 x^3 [0,1] = (1/2 - 1/5) - (0 - 0) = 3/10
next time you get stuck, post your work, so we can see what went wrong.
∫x^n dx = 1/(n+1) x^(n+1)
so,
∫[0,1] (x - x^4) dx = 1/2 x^2 - 1/5 x^3 [0,1] = (1/2 - 1/5) - (0 - 0) = 3/10
next time you get stuck, post your work, so we can see what went wrong.