reduction integrate (1 Viewer)

[shannonm]

Hi The question is
evaluate

/1
| ... x³e^-x dx
/0






also the previous part of the question is to find the general formula:
I_n = nI_n-1 - e^-1 (n>0)
which i could do ok, i just keep getting the wrong answer when trying to evaluate that integral
thanks

 

[:: ck ::]

this is not a reduction formula... i think either u have misinterpreted the question or u have typed it up wrong..

remember that e^-1 is a constant

u can take it out of the integral

thus integral [1 to 0] x^3 / e dx
= 1/e integral[1 to 0] x^3
= (1 / e) * [ (x^4 / 4) ]¹₀

the rest u can do ..

 

[Affinity]

it is a reduction formula quesiton.
and if you can do that .. it's probably the book's problem

 

[Rorix]

shannom edited it after ryan posted so it probably wasn't a reduction question initially...

yes that question is rather easy

 

[:: ck ::]

it is a reduction formula quesiton.
and if you can do that .. it's probably the book's problem

he edited it after...