Question

Bounded by y=(x^3)/(squareroot4-x^2), y=0, x=0, x=squareroot(2). Find the exact area.

Answer 1

Since there is an asymptote at \(x=\sqrt 2\), the area is \(\infty\): http://www.wolframalpha.com/input/?i=int+x^3%2F%28sqrt%284%29-x^2%29%2C+0%3C%3Dx%3C%3Dsqrt%282%29

Answer 2

thank you!!:)