Integration by Parts

• Integration by parts is important in calculus for finding the integrals of function products.
• It is based on the product rule for differentiation, with the formula ∫u dv = uv - ∫v du.
• To use this method, identify the functions u and dv in the integrand.
• “LIATE” (log, inverse trig, algebraic, trigonometric, and exponential functions) is a useful acronym to help choose suitable functions.
• Differentiate u and integrate dv to find du and v respectively.
• Compute uv and the integral of v du.
• Subtract ∫v du from uv to find the solution.
• Mastering integration by parts is essential for calculus and useful in many disciplines.