Reduction Formulas for Trigonometric Functions
For trigonometric functions, reduction formulas are:
- ∫ sinnx dx = -1/n sinn-1x. cosx + (n-1_/n∫sinn-2x dx
- ∫ cosnx dx = 1/n cosn-1x.sinx + (n-1)/n∫cosn-2x dx
- ∫ tannx dx = 1/(n-1) tann-1x – ∫tann-2x dx
- ∫ sinnx.cosmx dx = sinn+1x. cosm-1x / (n+m) + (m-1)/(n+m)∫ sinnx.cosm-2x dx
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