What is the integral from sqrt(x) to x of (e^t)/t ?

The integral from sqrt(x) to x of (e^t)/t is \Ei(x)-\Ei(sqrt(x))

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integral from sqrt(x) to x of (e^t)/t

\int_{x}^{x} \frac{e ^{t}}{t} d t

Ei (x) - Ei (x)

Solution steps

\int_{x}^{x} \frac{e ^{t}}{t} d t

Use the nonelementary integral:

\int \frac{e ^{x}}{x} d x = Ei (x)

= [Ei (t)]_{x}^{x}

Compute the boundaries:

Ei (x) - Ei (x)

= Ei (x) - Ei (x)

\int_{- 1}^{1} y^{2} - 2 d y

\int_{0}^{1} \frac{8}{x ^{2} + 1} d x

\int_{0}^{\frac{π}{2}} sin (x + y) d y

\int_{0}^{2} π (8 x)^{2} d x

\int_{0}^{x} x e^{y} d y

What is the integral from sqrt(x) to x of (e^t)/t ?
The integral from sqrt(x) to x of (e^t)/t is \Ei(x)-\Ei(sqrt(x))