Integration by parts

About this app

The uv-rectangle argument: u·v = ∫v du + ∫u dv, hence ∫u dv = uv − ∫v du. The two partial areas and the rectangle term grow in sync. Alongside, the calculation step by step — choose u and dv (LIATE), differentiate, integrate, substitute.

Subject: Analysis (one-dimensional)

More from Analysis (one-dimensional)

• Derivative as a sequence of secants
• Bounded growth
• Exponential growth and decay
• Optimisation: the largest rectangle
• Area between curves
• Area function is an antiderivative
• Sequential continuity
• Rational functions and asymptotes

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