Datrys ∫ (from 0 to 1) of wrt yint_{y}^sqrt{1-y^2+1}xydx

$$\int _ { 0 } ^ { 1 } d y \int _ { y } ^ { \sqrt { 1 - y ^ { 2 } } + 1 } x y d x$$

Enrhifo

$$\int _{0}^{1}\frac{\mathrm{d}}{\mathrm{d}y}(\int _{y}^{\sqrt{1-y^{2}}+1}xy\mathrm{d}x)\mathrm{d}x$$

$$|y|\leq 1$$

Gwahaniaethu w.r.t. y

$$\frac{\mathrm{d}}{\mathrm{d}y}(\int _{0}^{1}\frac{\mathrm{d}}{\mathrm{d}y}(\int _{y}^{\sqrt{1-y^{2}}+1}xy\mathrm{d}x)\mathrm{d}x)$$

$$|y|\leq 1$$