How to Apply ILATE Rule?

What is ILATE Rule?

The ILATE Rule, the acronym for Inverse, Logarithmic, Algebraic, Trigonometric, and Exponential functions, guides the order in which different functions are prioritized during integration or differentiation. The ILATE rule is an acronym commonly used in integral calculus to determine which function should be selected as u and which as dv when employing the integration by parts method....

How to Apply ILATE Rule?

To apply the ILATE Rule, identify the functions in your expression and follow the sequence: Inverse, Logarithmic, Algebraic, Trigonometric, and Exponential. Choose the function with the highest priority as the first one to differentiate or integrate....

Why is ILATE Rule Used?

ILATE Rule is used to streamline the process of integration and differentiation by providing a systematic approach. It ensures efficient handling of different functions, minimizing errors and simplifying complex calculations. The ILATE rule is significant in integration by parts as it offers a systematic approach to selecting which function to assign as u and which to assign as dv. Its importance lies in simplifying the integration process by providing a guideline for prioritizing functions based on their rate of growth or simplification upon differentiation or integration....

ILATE Rule for Single Function

For a single function, ILATE Rule is still applicable. Identify the nature of the function and follow the sequence: Inverse, Logarithmic, Algebraic, Trigonometric, and Exponential....

Solved Examples on ILATE Rule

Example 1: Solve the integral: ∫xcos(x)dx...

Practice Questions in ILATE Rule

Q1: Solve the integral: ∫ x sin(x)dx....

FAQs on ILATE Rule

What Does ILATE Rule Stand For?...