What is the integral from-infinity to 0 of cos(x)+x ?

The integral from-infinity to 0 of cos(x)+x is diverges

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integral from-infinity to 0 of cos(x)+x

\int_{- \infty}^{0} cos (x) + x d x

diverges

Solution steps

\int_{- \infty}^{0} cos (x) + x d x

Compute the indefinite integral:

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

Compute the boundaries:

\int_{- \infty}^{0} cos (x) + x d x =

diverges

= diverges

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