Which of the following relations is correct for the integral of the product of two…

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

Problem

Which of the following relations is correct for the integral of the product of two differentiable functions

u(x)

and

v(x)

? (a)

uv + \displaystyle\int v\,du

(b)

uv + C

(c)

uv - \displaystyle\int v\,du

(d)

\dfrac{u}{v} + C