Identify the correct formula for integrating a product of two differentiable…

MATHEMATICS · Single correct · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Identify the correct formula for integrating a product of two differentiable functions

u(x)

and

v(x)

. (a)

\displaystyle \int u\,dv = u\,v + \int v\,du

(b)

\displaystyle \int u\,dv = v\,u + C

(c)

\displaystyle \int u\,dv = u\,v - \int v\,du

(d)

\displaystyle \int u\,dv = v\,u' - \int v\,du