Question

Evaluate the integra  \iint_{D}^{}e^{4x+5y}dx\,dy, where D= \left \{ \left ( x,y \right ):x\geq 0,y\geq 0,x+y\leq1 \right \},by considering D as a region of Type I and then as a region of Type II

24 Apr 2024
Answer :
Word Count : 254
The given integral is: \[ I = \iint_{D} e^{4x+5y} \,dx\,dy \] where \( D \) is the triangular region defined by \( x \geq 0 \), \( y \geq 0 \), and \( x + y \leq 1 \). We will evaluate this integral numerically by considering \( D \) __________ _______ _________ _____ ________ ____.
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