# Integration by Parts

The **method of integration by parts** allows the calculation of the **integral of a product** of two functions using the **formula**:

Logarithmic functions, "arcs" and polynomials are chosen as * u*.

The exponential and trigonometric functions of sine and cosine, are chosen as * v'*.

### Integration by Parts Examples

If a polynomial of degree **n** is **integrated by parts**, begin with **u** and the process is repeated **n** times.

If there is an **integral** with only one "**log"** or **"arc"**, **integrate by parts** taking: **v'= 1**.

When integrating by parts and the second term appearing in the integral must be calculated, it is solved as an equation.

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