VA M2413 Homework 4.5 x C fi t/web/Student/Assig submit? dep-11839021 Q15 Find t

Question

VA M2413 Homework 4.5 x C fi t/web/Student/Assig submit? dep-11839021 Q15 Find the area of the region. Use a graphing utility to verify your result. x 1 dx Enter an exact number as an integer, fraction, or decimal. 100 80 y 60 40 20 Maple Generated Plot Need Help? L Read It Chat About It Submit Answer Save Progress Practice Another Version 20 111 points I Previous Answers LarCalc 10 4.5.068 MI. Find the area of the region. Use a graphing utility to verify your result. My Notes Ask Your Teacher 8:23 AM 11/27/2015

Explanation / Answer

integral[0 to 7] 7x(x+1)1/3 dx

let x+1= p==>x=p-1, dx=dp

x=0==>p=1, x=7==>p=8

integral[1 to 8] 7(p-1)(p)1/3 dx

integral[1 to 8] 7(p4/3-p1/3) dx

=[1 to 8] 7((3/7)p7/3-(3/4)p4/3)

= 7((3/7)87/3-(3/4)84/3) - 7((3/7)17/3-(3/4)14/3)

= (384-84) - (3-(21/4))

=297 +(21/4)

=1209/4

=302.25

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