Answer:
4/9*1/2
Step-by-step explanation:
Given :
Given a curve ,
.
To Find :
The area of the region between the given curve and the x-axis on the interval [0, b] .
Solution :
Now , area under the curve is given by :
![A=\int\limits^b_0 {2x^2} \, dx \\\\A= |_0^b(\dfrac{2}{3}x^{(2+1)})\\\\A=\dfrac{2b^3}{3}](https://tex.z-dn.net/?f=A%3D%5Cint%5Climits%5Eb_0%20%7B2x%5E2%7D%20%5C%2C%20dx%20%5C%5C%5C%5CA%3D%20%7C_0%5Eb%28%5Cdfrac%7B2%7D%7B3%7Dx%5E%7B%282%2B1%29%7D%29%5C%5C%5C%5CA%3D%5Cdfrac%7B2b%5E3%7D%7B3%7D)
( Integration of
is
)
Therefore , the region between the given curve and the x-axis on the interval [0, b] is
.
Hence , this is the required solution .
30 4 the first 1st and maybe 11 for the 2nd
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Answer:
Step-by-step explanation:
figure it out kid