ILATE Rule

What Does ILATE Rule Stand For?

ILATE Rule stands for Inverse, Logarithmic, Algebraic, Trigonometric, and Exponential, providing a mnemonic for the sequence in which functions are prioritized. ILATE stands for Inverse, Logarithmic, Algebraic, Trigonometric, and Exponential.

Which is Correct ILATE Rule or LIATE Rule?

The correct sequence is ILATE Rule, where the priority is Inverse, Logarithmic, Algebraic, Trigonometric, and Exponential.

What is I in LIATE Rule Stand For?

In LIATE Rule, ‘I’ stands for Inverse Function.

How to Select the First Function Using ILATE Rule?

Select the first function based on the priority sequence,

  • Inverse Function
  • Logarithmic Function
  • Algebraic Function
  • Trigonometric Function
  • Exponential Function

Can we Apply LIATE Rule for a Single Function?

ILATE Rule can be easily applied to Single Function such as it is used to find integration of ln(x) and other function.

What is the Formula for ILATE?

The ILATE Rule doesn’t have a specific formula but follows the sequence: Inverse, Logarithmic, Algebraic, Trigonometric, and Exponential.

What is the Integration of UV rule?

Integration of the UV rule involves considering two functions, ‘u’ and ‘v,’ and applying the product rule,

∫u.v dx = u∫v.dx – ∫(vdu).dx

What is ILATE Rule Used For?

ILATE Rule is used for simplifying and organizing the integration or differentiation process by providing a systematic approach to handle various types of functions.



ILATE Rule

ILATE rule stands for Inverse Trigonometric Function, Logarithmic Function, Algebraic Function, Trigonometric Function, and Exponential Function. It tells about the priority order in which functions are selected for their integration. It is an important concept in solving integration problems.

This formula is also called the ‘uv integration formula’. If we have to find the integration of a function that is a product of two functions then we use the ILATE rule of integration. In this article, we will learn about, What the is ILATE Rule, How to Apply the ILATE Rule, ILATE Rule Examples, and others in detail.

Similar Reads

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?...

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