Question

Which integral gives the area of the region in the first quadrant bounded by the axes, y = ex, x = ey, and the line x = 4?

Answer 1

so these are your 3 boundaries:

\(y=ex\)

\(y=\dfrac{1}{e}x\)

\(x=4\)

And here is \(\bf\color{red}{\href{https:///www.desmos.com/calculator/3gnmbwpkxv}{the~graph}}\):

Answer 2

Can you tell me what your limits of integration are going to be?

Answer 3

Then use the rule: ∫(f - g) dx