Integration by parts for JEE

Formula

\[\int u\,dv=uv-\int v\,du\]

Variables: \(u=u(x)\), \(v=v(x)\), \(du=u'(x)dx\), \(dv=v'(x)dx\).

Conditions: Functions should be differentiable/integrable as needed.

Products like algebraic-trigonometric, algebraic-exponential, logarithmic integrals.