Hello, I ran into a problem that I would appreciate if someone could help me with.
Problem
f(x)=k-x^4 is covering an area together with the x-axis. The Area is 10 area units. k>1.
Determine k assuming k>1.
My question
My question is of a very basic sort. When I was calculating the limits for the integral --> x^4=k, I got stuck.
I started to think in terms of solving for x for equations like x^2+2x+2=0, where this one has two solutions. So when seeing x^4=k I thought to myself will this have four solutions? And if so, because the limits of the integral are only two how do I know which one to choose..
I realize in the moment of writing that I probably lack some very basic maths here.....
Problem
f(x)=k-x^4 is covering an area together with the x-axis. The Area is 10 area units. k>1.
Determine k assuming k>1.
My question
My question is of a very basic sort. When I was calculating the limits for the integral --> x^4=k, I got stuck.
I started to think in terms of solving for x for equations like x^2+2x+2=0, where this one has two solutions. So when seeing x^4=k I thought to myself will this have four solutions? And if so, because the limits of the integral are only two how do I know which one to choose..
I realize in the moment of writing that I probably lack some very basic maths here.....
