# Integration of Algebraic Function

## Problem 5: Integral of (6z - 1) dz / sqrt[ (2z + 1)^3 ] by Algebraic Substitution

**Problem**

Evaluate $\displaystyle \int \dfrac{(6z - 1) \, dz}{\sqrt{(2z + 1)^3}}$

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

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## Problem 3: Integral of (x^3 dx) / (x^2 + 1)^3 by Algebraic Substitution

**Problem**

Evaluate $\displaystyle \int \dfrac{x^3 \, dx}{(x^2 + 1)^3}$

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## Problem 2: Integral of y^3 * sqrt(2y^2 + 1)dy by Algebraic Substitution

**Problem**

Evaluate $\displaystyle \int y^3\sqrt{2y^2 + 1} \,\, dy$

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## Example 03 | The General Power Formula

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## Example 02 | The General Power Formula

**Problem**

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

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## 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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## Problem 1: Integral of (8x + 1) dx / sqrt(4x - 3) by Algebraic Substitution

**Problem**

Evaluate $\displaystyle \int \dfrac{(8x + 1) \, dx}{\sqrt{4x - 3}}$

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