SOLUTION: Hello, Determine the value of ʃ(4t+2)^5.dt between the limits of t=0.31496 and t=0.12322 Thankyou for your help in advance. Alex

Algebra ->  Equations -> SOLUTION: Hello, Determine the value of ʃ(4t+2)^5.dt between the limits of t=0.31496 and t=0.12322 Thankyou for your help in advance. Alex      Log On


   

Question 893416: Hello,
Determine the value of ʃ(4t+2)^5.dt between the limits of t=0.31496 and t=0.12322
Thankyou for your help in advance.
Alex
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use a substitution.
u=4t%2B2
du=4dt
dt=%281%2F4%29du
int%28%284t%2B2%29%5E5%2Cdt%29=%281%2F4%29%2Aint%28u%5E5%2Cdu%29
int%28%284t%2B2%29%5E5%2Cdt%29=%281%2F4%29%2A%28u%5E6%2F6%29%2BC
int%28%284t%2B2%29%5E5%2Cdt%29=%281%2F24%29%2A%284t%2B2%29%5E6%2BC

int%28%284t%2B2%29%5E5%2Cdt%29=49.99959-9.999931
int%28%284t%2B2%29%5E5%2Cdt%29=40