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)