Area between curves involving $e$

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Find the area of the region bounded by the curve $ y= e^x$, the coordinate axes, and the line $x=2$

Can you tell me what is wrong with my solution?

$$\int_0^2 e^x \,dx =7.38\dots - 1 = 6.38\dots$$

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You are right $$A=\int_{0}^{2} e^{x} dx=e^2-1.$$