What is the integral from-infinity to 1 of (x+4)^6 ?

The integral from-infinity to 1 of (x+4)^6 is diverges

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integral from-infinity to 1 of (x+4)^6

\int_{- \infty}^{1} (x + 4)^{6} d x

diverges

Solution steps

\int_{- \infty}^{1} (x + 4)^{6} d x

Compute the indefinite integral:

\int (x + 4)^{6} d x = \frac{( x + 4 ) ^{7}}{7} + C

Compute the boundaries:

\int_{- \infty}^{1} (x + 4)^{6} d x =

diverges

= diverges

What is the integral from-infinity to 1 of (x+4)^6 ?
The integral from-infinity to 1 of (x+4)^6 is diverges