Answer to Question #348508 in Calculus for Migz

Question #348508

The curve has an equation y = e^x. Compute the area bounded by the


curve from x = 0 to x = 1.

1
Expert's answer
2022-06-08T06:18:28-0400

The area bounded by the curve y=f(x)y=f(x) from x=ax = a to x=bx = b can be found out by integration:

A=abf(x)dx.A=\int_a^bf(x)dx.





We have:

A=01exdx=ex01=e1e0=e1.A=\int_0^1e^xdx=e^x |_0^1=e^1-e^0=e-1.


Answer: e1.e-1.



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