Primitive funktion

• May 12th 2010, 08:49 AM
DenOnde
Primitive funktion
Need a little help here... :P

what is the primitive funktion of:

$\displaystyle (0,5x^2)^2$

and what is the way of finding it?

Best regards
• May 12th 2010, 09:17 AM
shenanigans87
Quote:

Originally Posted by DenOnde
Need a little help here... :P

what is the primitive funktion of:

$\displaystyle (0,5x^2)^2$

and what is the way of finding it?

Best regards

I don't understand the equation you wrote down...

The primitive function is the antiderivative.

So if the function were $\displaystyle (5x^2)^2=25x^4$

then the primitive function is $\displaystyle 5x^5$ because when you take its derivative, you get $\displaystyle 25x^4$
• May 12th 2010, 09:24 AM
DenOnde
aha, it was the outer square of the equation that had me dazzled.

the equation was: $\displaystyle ((x^2)/2)^2$

so that correct answer should be:
$\displaystyle 0,05x^5$?

Thanx for the quick reply by the way
• May 12th 2010, 09:37 AM
shenanigans87
Quote:

Originally Posted by DenOnde
aha, it was the outer square of the equation that had me dazzled.

the equation was: $\displaystyle ((x^2)/2)^2$

so that correct answer should be:
$\displaystyle 0,05x^5$?

Thanx for the quick reply by the way

The answer would be $\displaystyle \frac{x^5}{20}+C$

the C is necessary because its some unknown constant.
• May 12th 2010, 09:43 AM
DenOnde
Not in this case ;)

I was looking for the primitiv form in a integral so the C is not necessery this time :)

Thank you for the help!
Really appreciate it