1 - 3 Examples | Algebraic Substitution

Evaluate the following integrals:

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

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

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

Solution to Example 1

 

Solution to Example 2

 

Solution to Example 3

 
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