In this problem where

And

find the value of the function so I wind up with this

plug in one for x but how do I anti differentiate this

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- September 24th 2009, 07:38 PMThe PowerIntegral Problem
In this problem where

And

find the value of the function so I wind up with this

plug in one for x but how do I anti differentiate this

- September 24th 2009, 09:17 PMRapha
Hello The Power!

Huh? Is it ? Because I think it should be

It would be better, if you first calculate

=>

and then you substitute t = 0, so you solve F(0) = 2 to solve for c.

Do you know integration by substitution?

Use the substitution z = t^2... That would work.

Yours

Rapha - September 24th 2009, 10:04 PMThe Power
Thanks Rapha!

Im currently learning how to do substitution is it quite tricky because at first I made u = -t^2 and do i not know when to solve for du = some derivative dx completely for dx if you can make any sense of that

In this case C = 2 so its

2 + integral

If this is correct - September 24th 2009, 10:08 PMProve It
- September 24th 2009, 10:22 PMThe Power
So how do I obtain a value for F(1) somehow the book retrieved the answer numerically of 2.747

- September 24th 2009, 10:36 PMmr fantastic
- September 25th 2009, 06:11 AMThe Power
I wish the book would state this but sadly they do not I should just skip through those type of problems because calculators are not allowed on test