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

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

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integral from-infinity to 2 of e^x

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

e^{2}

Solution steps

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

Compute the indefinite integral:

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

Compute the boundaries:

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

= e^{2} - 0

Simplify

= e^{2}

x \to 2 lim (x^{3} + x^{2} + x)

x \to 0 lim (\frac{sin ( 7 x )}{tan ( 11 x )})

\int x^{2} e^{19 x} d x

\frac{d}{d x} (\frac{x - 3}{x ^{2} - 5})

\int x^{3} \cdot e^{x^{4} + 5} d x

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