What is the integral from 0 to ln(10) of integral from 0 to ln(5) of e^{x+y} ?

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integral from 0 to ln(10) of integral from 0 to ln(5) of e^{x+y}

\int_{0}^{l n (10)} \int_{0}^{l n (5)} e^{x + y} d x d y

36

Solution steps

\int_{0}^{l n (10)} \int_{0}^{l n (5)} e^{x + y} d x d y

\int_{0}^{l n (5)} e^{x + y} d x = e^{y} \cdot 4

= \int_{0}^{l n (10)} e^{y} \cdot 4 d y

\int_{0}^{l n (10)} e^{y} \cdot 4 d y = 36

= 36

What is the integral from 0 to ln(10) of integral from 0 to ln(5) of e^{x+y} ?
The integral from 0 to ln(10) of integral from 0 to ln(5) of e^{x+y} is 36