Answer
$$\int^{27}_1x^{-4/3}dx=2$$
Work Step by Step
$$A=\int^{27}_1x^{-4/3}dx$$ $$A=\Big(\frac{x^{-1/3}}{-\frac{1}{3}}\Big)\Big]^{27}_1=\Big(-\frac{3}{x^{1/3}}\Big)\Big]^{27}_1$$ $$A=-\frac{3}{(27)^{1/3}}-\Big(-\frac{3}{(1)^{1/3}}\Big)$$ $$A=-\frac{3}{3}+\frac{3}{1}=-1+3$$ $$A=2$$