Math  /  Calculus

Question(4) Find the area of the region bounded by f(x)=x4/3f(x)=x^{4 / 3} and g(x)=2x1/3g(x)=2 x^{1 / 3}

Studdy Solution
Combine the terms to get the final area:
Area=324/3314=91424/3 \text{Area} = 3 \cdot 2^{4/3} \cdot \frac{3}{14} = \frac{9}{14} \cdot 2^{4/3}
Therefore, the area of the region bounded by f(x)=x4/3f(x)=x^{4/3} and g(x)=2x1/3g(x)=2x^{1/3} is:
Area=91424/3 \text{Area} = \frac{9}{14} \cdot 2^{4/3}

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