What is the integral of (sin(x))/x e^{ln(x)} ?

The integral of (sin(x))/x e^{ln(x)} is -cos(x)+C

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integral of (sin(x))/x e^{ln(x)}

\int \frac{sin ( x )}{x} e^{l n (x)} d x

- cos (x) + C

Solution steps

\int \frac{sin ( x )}{x} e^{l n (x)} d x

Simplify

\frac{sin ( x )}{x} e^{l n (x)} : sin (x)

= \int sin (x) d x

Use the common integral:

\int sin (x) d x = - cos (x)

= - cos (x)

Add a constant to the solution

= - cos (x) + C

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What is the integral of (sin(x))/x e^{ln(x)} ?
The integral of (sin(x))/x e^{ln(x)} is -cos(x)+C