What is the integral from 2 to infinity of e^{2-x} ?

The integral from 2 to infinity of e^{2-x} is 1

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integral from 2 to infinity of e^{2-x}

\int_{2}^{\infty} e^{2 - x} d x

1

Solution steps

\int_{2}^{\infty} e^{2 - x} d x

Compute the indefinite integral:

\int e^{2 - x} d x = - e^{2 - x} + C

Compute the boundaries:

\int_{2}^{\infty} e^{2 - x} d x = 0 - (- 1)

= 0 - (- 1)

Simplify

= 1

What is the integral from 2 to infinity of e^{2-x} ?
The integral from 2 to infinity of e^{2-x} is 1