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x^{\frac{3}{x}} integration

Feb 15, 2024

x^{\frac{3}{x}} integration

Solution by Steps

step 1

The integral we are trying to solve is

\int x^{\frac{3}{x}} \, dx

step 2

According to the asksia-ll calculator, this integral cannot be expressed in terms of standard mathematical functions

Answer

The integral

\int x^{\frac{3}{x}} \, dx

does not have a result in terms of standard mathematical functions.

Key Concept

Non-elementary integrals

Explanation

Some integrals cannot be expressed in terms of elementary functions, which include polynomials, exponential functions, logarithmic functions, trigonometric functions, and their inverses. The integral of

x^{\frac{3}{x}}

is an example of a non-elementary integral.