We don't know x/a under the root plus y/b= 1 under the root, but obviously, with the increase of X, Y will gradually decrease.
When x=0, the maximum value of y is obtained, and when y=b, similarly, the maximum value of x is a.
So we can be sure that this is both an X-shaped area and a Y-shaped area, and we don't need to know the specific graph to calculate it!
For example, we integrate y first, then x, ∫0, adx∫0, cydy, where c is determined by the curve equation (it can be said that it is not fun).
The rest is simple, just repeat the integral. The integral of y is easy to shoot. After the calculation, bring in x and then calculate the integral of x, which requires a simple substitution method.