Reduction Formulas for Inverse Trigonometric Functions
For inverse trigonometric functions, reduction formulas are:
- ∫ xn arc sinx dx = (xn+1/n+1) arc sinx – (1/n+1)∫(xn+1/(1-x2)1/2) dx
- ∫ xn arc cosx dx = (xn+1/n+1) arc cosx + (1/n+1)∫(xn+1/(1-x2)1/2) dx
- ∫ xn arc tanx dx = (xn+1/n+1) arc tanx – (1/n+1)∫(xn+1/(1+x2)1/2) dx
Article Related to Reduction Formula:
Reduction Formula
Reduction formula in mathematics is generally used for solving integration of higher order. Integration involving higher-order terms is difficult to handle and solve. So, to simplify the solving process of higher-order terms and get rid of the lengthy expression-solving process of higher-order degree terms – Integration processes can be simplified by using Reduction Formulas.
Table of Content
- What is Reduction Formula?
- Reduction Formulas for Logarithmic Functions
- Reduction Formulas for Algebraic Functions
- Reduction Formulas for Trigonometric Functions
- Reduction Formulas for Exponential Functions
- Reduction Formulas for Inverse Trigonometric Functions
- Examples Using Reduction Formula
- FAQs on Reduction Formula