Reduction Formula Integrator

Easily simplify integrals of trigonometric functions raised to a power using reduction formulas.

Integrate using Reduction Formula

Select the trigonometric function and enter the power to apply the reduction formula.

Result

Step-by-step Reduction

About Reduction Formulas

Reduction formulas are used in calculus to solve integrals of functions raised to a power. They simplify complex integrals by expressing them in terms of simpler integrals of the same function with a lower power. For trigonometric functions like sinⁿ(x), cosⁿ(x), tanⁿ(x), secⁿ(x), cscⁿ(x), and cotⁿ(x), these formulas recursively reduce the power 'n' until the integral becomes easily solvable, typically when the power is reduced to 0 or 1. This tool automates this process, providing a step-by-step breakdown of the reduction and the final simplified integral. Use it to quickly understand and apply reduction formulas in your calculus studies or work.