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.