Joint PDF to Marginal PDF

Given $f_{X,Y}$ as the Joint PDF, the the Marginal PDFs are given by:

• $f_X(x)={\int }_{-\infty }^{\infty }{f}_{X,Y}(x,y)dy$
• $f_Y(y)={\int }_{-\infty }^{\infty }{f}_{X,Y}(x,y)dx$