What is the integral from-infinity to 0 of sqrt(4-x) ?

The integral from-infinity to 0 of sqrt(4-x) is diverges

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integral from-infinity to 0 of sqrt(4-x)

\int_{- \infty}^{0} 4 - x d x

diverges

Solution steps

\int_{- \infty}^{0} 4 - x d x

Compute the indefinite integral:

\int 4 - x d x = - \frac{2}{3} (4 - x)^{\frac{3}{2}} + C

Compute the boundaries:

\int_{- \infty}^{0} 4 - x d x =

diverges

= diverges

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What is the integral from-infinity to 0 of sqrt(4-x) ?
The integral from-infinity to 0 of sqrt(4-x) is diverges