Asked by Tanish
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
Enclosed by y = x and y = x4
Answers
Answered by
Tanish
its is x^4 if anyone want to help
Answered by
oobleck
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 = ____
Answered by
Tanish
Can you give me a definitive answer? For some reason I can't quite get the answer from that function
Answered by
oobleck
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.
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