∫ Advanced Integration by Parts ∫

Master the technique: ∫u dv = uv - ∫v du with challenging integrals

Integration by Parts Formula

$$ \int u \, dv = uv - \int v \, du $$
LIATE Rule: When choosing u, prefer functions in this order:
Logarithmic → Inverse trigonometric → Algebraic → Trigonometric → Exponential
0
Problems Solved
Medium
Difficulty Level
12
Problem Types
Generating integration by parts problem...

How to Choose u and dv:

1
Look for Logarithmic functions (ln x, log x)
2
Look for Inverse Trigonometric functions (arcsin x, arctan x)
3
Look for Algebraic functions (polynomials: xⁿ)
4
Look for Trigonometric functions (sin x, cos x)
5
Look for Exponential functions (eˣ, aˣ)
Advanced Problem Bank: 12 integration by parts types with random parameters • LIATE strategy training