Reduction Formula
What Is a Reduction Formula?
Reduction formula are formulas used in integration for solving integrals of higher order.
What is the Reduction Formula for Sin and Cos?
Integral Formula for sin and cos 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
Is Reduction Formula Important for JEE?
Reduction formula is very important for scoring good marks in JEE Main and Advanced as it helps solve integrals of higher order easily.
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