What is the integral from-infinity to 0 of e^xsin(x) ?

The integral from-infinity to 0 of e^xsin(x) is -1/2

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integral from-infinity to 0 of e^xsin(x)

\int_{- \infty}^{0} e^{x} sin (x) d x

- \frac{1}{2}

Decimal

- 0.5

Solution steps

\int_{- \infty}^{0} e^{x} sin (x) d x

Compute the indefinite integral:

\int e^{x} sin (x) d x = - \frac{e ^{x} cos ( x )}{2} + \frac{e ^{x} sin ( x )}{2} + C

Compute the boundaries:

\int_{- \infty}^{0} e^{x} sin (x) d x = - \frac{1}{2} - 0

= - \frac{1}{2} - 0

Simplify

= - \frac{1}{2}

What is the integral from-infinity to 0 of e^xsin(x) ?
The integral from-infinity to 0 of e^xsin(x) is -1/2