Integration by Parts (Edexcel A-Level Mathematics): Flashcards

To integrate products of functions using $u$ and $dv$.

It's the formula for integration by parts derivation.

$\int udv = uv - \int vdu$, where $u$ and $v$ are functions.

$\int u \, dv = uv - \int v \, du$

Let $u = x$, $dv = \sin x \, dx$.

$x \ln x - x + c$

Use integration by parts: $u = x^2$, $dv = \cos x \, dx$.

$xe^x - e^x + C$ (correct result with integration)

Use it when replacing a variable simplifies the integral.

$\int u \, dv = uv - \int v \, du$