"Integration Using the Reduction Formula | Example: ∫sin²x cos³x dx (π/2 → π)"
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YouTubeMATHEMATICS MADE EASY
"Integration Using the Reduction Formula | Example: ∫sin²x cos³x dx (π/2 → π)"
In this video, we’ll learn how to solve the integral ∫(from π/2 to π) sin²(x)cos³(x) dx step by step using the Reduction Formula. Reduction formulas are powerful tools in integration — they help us break down complex trigonometric integrals into simpler ones by reducing the powers of sine and cosine. You’ll discover: How to derive ...
34 views2 months ago
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Recurring integrals are integrals that can be rewritten in terms of simpler versions of themselves, usually by reducing an exponent or shifting a parameter. They show up in problems involving expressions like x to the power n times an exponential, or powers of sine and cosine. Instead of solving each integral from scratch, you create a recurrence relation: a formula that links the original integral to one with a smaller power. This is usually done through integration by parts, which reveals a re
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