Tricky antiderivative problem

[dear2009]

Dear math help participants,


I need help on this problem. Can anybody guide me through this?


Suppose that dy/dx = (5x^4) / (x^5 + 1)^5 and that y = 1 when x = 0. Find y when x = 1


This is how I started
I started with 20x^3 / 5(x^5 + 1)^4

Do you know how to go on after this step

 

[tkhunny]

You're doing it again. The degree is going the wrong way. This seems to indicate you are stuck on the derivative and really have not taken to heart the concept fo the antiderivative.

Here's a hint. Find this DERIVATIVE (Not ANTIderivative).

\(\displaystyle \frac{d}{dx}\frac{1}{\left(x^{5}+1\right)^{4}}\;=\;??\)

Show us what you get and we can stare at it really hard until it starts to soak in.