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Solving integrals/ sin(e^x)

Integral of sin(e^x) dx

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0

$$\int\limits_{0}^{1} \sin{\left(e^{x} \right)}\, dx$$

Integral(sin(E^x), (x, 0, 1))

Detail solution

Let $u = e^{x}$ .

Then let $du = e^{x} dx$ and substitute $du$ :

$\int \frac{\sin{\left(u \right)}}{u}\, du$
Now substitute $u$ back in:

$\operatorname{Si}{\left(e^{x} \right)}$
Now simplify:

$\operatorname{Si}{\left(e^{x} \right)}$
Add the constant of integration:

$\operatorname{Si}{\left(e^{x} \right)}+ \mathrm{constant}$

The answer is:

$\operatorname{Si}{\left(e^{x} \right)}+ \mathrm{constant}$

The answer (Indefinite) [src]

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 | sin\e / dx = C + Si\e /
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$$\int \sin{\left(e^{x} \right)}\, dx = C + \operatorname{Si}{\left(e^{x} \right)}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

-Si(1) + Si(e)

$$- \operatorname{Si}{\left(1 \right)} + \operatorname{Si}{\left(e \right)}$$

-Si(1) + Si(e)

$$- \operatorname{Si}{\left(1 \right)} + \operatorname{Si}{\left(e \right)}$$

Упростить

Numerical answer [src]

0.874957198780384

0.874957198780384

The graph

Use the examples entering the upper and lower limits of integration.