Area Calculation Using a Definite Integral

Question

Which of the following is an example of correctly approximating the area under the curve $$f(x)=\sqrt{x}$$ from $$x=1$$ to $$x=4$$ using a definite integral?

Accepted Answer

Area = $$\frac{2}{3}(4^{3/2}-1^{3/2})=\frac{14}{3}$$

Answer

Area = $$4^{3/2}-1^{3/2}$$

Answer

Area = $$\frac{2}{3}(4-1)=2$$

Answer

Area = $$\frac{1}{2}(4^{3/2}-1^{3/2})$$

Area Calculation Using a Definite Integral

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