Which of the following accurately describes integration by parts?
A) $\int f ( x ) g ^ { \prime } ( x ) d x = f ( x ) g ( x ) -$ $\int f ^ { \prime } ( x ) g ( x ) d x$
B) $\int f ( x ) g ^ { \prime } ( x ) d x = f ^ { \prime } ( x ) g ( x ) -$ $\int f ^ { \prime } ( x ) g ( x ) d x$
C) $\int f ( x ) g ( x ) d x = f ^ { \prime } ( x ) g ^ { \prime } ( x ) -$ $\int f ^ { \prime } ( x ) g ^ { \prime } ( x ) d x$
D) $\int f ( x ) g ( x ) d x = f ^ { \prime } ( x ) g ( x ) -$ $\int f ( x ) g ^ { \prime } ( x ) d x$
E) none of these

Question

Quizplus · Accepted Answer

The formula for integration by parts is $\int u dv = uv - \int v du$, where $u = f(x)$ and $dv = g'(x) dx$. This matches choice A.

Which of the Following Accurately Describes Integration by Parts? A) ∫f(x)g′(x)dx=f(x)g(x)−\int f ( x ) g ^ { \prime } ( x ) d x = f ( x ) g ( x ) -∫f(x)g′(x)dx=f(x)g(x)−

Which of the Following Accurately Describes Integration by Parts?
A) $\int f ( x ) g ^ { \prime } ( x ) d x = f ( x ) g ( x ) -$