What is the area under the curve $y = 2x^{-3}$ from 6 to 10?

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Answer 1 · 2015-08-28T10:35:51

Area under $y=2x^(-3)$ from 6 to 10 is $4/225$

The area under the curve $y=2x^(-3)$ from 6 to 10 is

$int_6^10 2x^-3 dx$

$= -1*x^-2|_6^10$

$= -1*1/x^2|_6^10$

$= (-1/10^2) - (-1/6^2)$

$=1/36 -1/100$

$=4/225$ (after a bit of arithmetic)

What is the area under the curve y = 2x^{-3}y = 2x^{-3} from 6 to 10?