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\int\frac{2y^3+3}{9x+5}dx

Integral of (2y^3+3)/(9x+5)

Answer

$\left(\frac{1}{3}+\frac{2}{9}y^3\right)\ln\left|5+9x\right|+C_0$

Step-by-step explanation

Problem

$\int\frac{2y^3+3}{9x+5}dx$
1

Split the fraction $\frac{2y^3+3}{5+9x}$ in two terms with same denominator

$\int\left(\frac{3}{5+9x}+\frac{2y^3}{5+9x}\right)dx$

Unlock this step-by-step solution!

Answer

$\left(\frac{1}{3}+\frac{2}{9}y^3\right)\ln\left|5+9x\right|+C_0$
$\int\frac{2y^3+3}{9x+5}dx$

Main topic:

Integration by substitution

Used formulas:

4. See formulas

Time to solve it:

~ 0.83 seconds