What is the integral from a to infinity of x^n ?

The integral from a to infinity of x^n is diverges

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integral from a to infinity of x^n

\int_{a}^{\infty} x^{n} d x

diverges

Solution steps

\int_{a}^{\infty} x^{n} d x

Compute the indefinite integral:

\int x^{n} d x = \frac{x ^{n + 1}}{n + 1} + C

Compute the boundaries:

\int_{a}^{\infty} x^{n} d x =

diverges

= diverges

\int_{24}^{25} x x^{2} - 576 d x

\int_{- 1}^{3} 3 x^{2} - 6 x d x

\int_{0}^{3} \frac{x ^{2}}{3} d x

\int_{1}^{0} \frac{1}{x} d x

\int_{1}^{3} 3^{5 x} d x

What is the integral from a to infinity of x^n ?
The integral from a to infinity of x^n is diverges