Integration of Algebraic Function

Problem 4: Integral of (y dy) / 4th root(1 + 2y) by Algebraic Substitution

Problem
Evaluate $\displaystyle \int \dfrac{y \, dy}{\sqrt[4]{1 + 2y}}$
 

Answer Key

Example 03 | The General Power Formula

Problem
Integrate $\displaystyle \int \dfrac{dx}{\sqrt[7]{x^2}}$.
 

Example 02 | The General Power Formula

Problem
Evaluate $\displaystyle \int \sqrt{ax + b} ~ dx$.
 

Example 01 | The General Power Formula

Problem
Evaluate $\displaystyle \int \left( \sqrt{x} + x\sqrt{x} + \dfrac{1}{\sqrt{x}} \right) \, dx$
 

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