It comes from the product rule:

Tags

• antiderivative
• integration by parts
• by parts
• reduction
• tecnica fundamental

Explore the idea

Variables

• $u$Variable auxiliar de sustitución
• $du$Diferencial respecto de $u$
• $v$Función o diferencial en integración por partes ($dv$)

Related formulas

• Related

  Formula

  $$\int x^n e^{ax}\,dx =\frac{x^n e^{ax}}{a}-\frac{n}{a}\int x^{n-1}e^{ax}\,dx, \qquad a\neq0$$
  Open formulaOpen in section

• Related

  Formula

  $$\int f(g(x))g'(x)\,dx=F(g(x))+C.$$
  Open formulaOpen in section

• Related

  In function form:

  $$\int f(x)g'(x)\,dx=f(x)g(x)-\int f'(x)g(x)\,dx.$$
  Open formulaOpen in section