Mathematics, 31.12.2019 04:31 bunnles
The boundaries of the shaded region are the y-axis, the line y = 15, and the curve y = 15 4 x . find the area of this region by writing x as a function of y and integrating with respect to y.
Answers: 2
![y=15\sqrt[4]{x}](/tpl/images/0437/9912/cf3c9.png)
![\frac{y}{15}=\sqrt[4]{x}](/tpl/images/0437/9912/d72f6.png)
---(1)
![A=\frac{1}{15^{4}}[\frac{y^{5}}{5}]^{15}_{0}](/tpl/images/0437/9912/d6d20.png)
![A=\frac{1}{15^{4}}[\frac{15^{5}}{5}-0]](/tpl/images/0437/9912/ed658.png)
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The boundaries of the shaded region are the y-axis, the line y = 15, and the curve y = 15 4 x . find...
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