Hi I have been thinking about an idea I have involving calculus that I think someone here can help me with. Is there a way you can determine a simple function (like f(x)=Ax) that has the same area dA from X to dX as another complicated function like f(x)=x^2. If you refer to the two attachments to this post you will see two graphs of two functions f(x)=X^2 and f(x)=Ax. The area under the curve of both functions from x=0 to x=2 are equal. My question is how can we determine the value of the variable A in the function f(x)=Ax if these conditions are to be satisfied. Thanks.(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Two functions having the same areas x to dx

**Physics Forums | Science Articles, Homework Help, Discussion**