Question

Evaluate the definite integral
[e^(1/x^(5))/x^(6)]dx from 1 to 2

Answer 1

the answer i got was \[e-\sqrt[32]{e}\] but it says its wrong. can someone help me figure out where i went wrong.

Answer 2

take 1/x^5=u
the -5/x^6*dx=du now just substitute

Answer 3

\[I=\int\limits_{1}^{2}\frac{ e ^{\frac{ 1 }{ x^5 }} }{ x^6 }dx\]
\[put~\frac{ 1 }{ x^5}=t,~x ^{-5}=t,-5 x ^{-6}dx=dt,\frac{ dx }{ x^6 }=\frac{ -1 }{ 5 }dt\]
when x=1,t=1,when x=2,t=1/32
\[I=-\frac{ 1 }{ 5 }\int\limits_{1}^{\frac{ 1 }{ 32 }} e^t dt=?\]

Answer 4

thanks both of you it worked. apparently i'm an airhead

Answer 5

lol

Answer 6

yw