What is the integral from 0 to infinity of u(t) ?

The integral from 0 to infinity of u(t) is diverges

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integral from 0 to infinity of u(t)

\int_{0}^{\infty} u (t) d t

diverges

Solution steps

\int_{0}^{\infty} u t d t

Compute the indefinite integral:

\int u t d t = \frac{u t ^{2}}{2} + C

Compute the boundaries:

\int_{0}^{\infty} u (t) d t =

diverges

= diverges

x \to \infty lim (x \cdot 1)

3^{e^{x}}

\int t e^{- s t} d t

\frac{17}{4} - \frac{1}{x}, x, \frac{1}{4}, 4

\int \frac{4}{x 16 - ( ln ( x ) ) ^{2}} d x

What is the integral from 0 to infinity of u(t) ?
The integral from 0 to infinity of u(t) is diverges