What is the integral from 1 to infinity of 2^x ?

The integral from 1 to infinity of 2^x is diverges

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integral from 1 to infinity of 2^x

\int_{1}^{\infty} 2^{x} d x

diverges

Solution steps

\int_{1}^{\infty} 2^{x} d x

Compute the indefinite integral:

\int 2^{x} d x = \frac{2 ^{x}}{ln ( 2 )} + C

Compute the boundaries:

\int_{1}^{\infty} 2^{x} d x =

diverges

= diverges

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What is the integral from 1 to infinity of 2^x ?
The integral from 1 to infinity of 2^x is diverges