Question

i need to find the integral of (3x+2)^2 using substitution

Answer 1

\[\int (3x+2)^{2}dx\]
u = 3x + 2 => du / dx = 3 => \[\frac{du}{dx} = 3=> du = 3dx => 3dx = du => dx = du/3 \]
\[\int (u)^2* \frac{du}{3} =>\int \frac{1}{3} u^{2}du\]

Answer 2

\[ => \frac{1}{3} \int u^{2}du\]

Answer 3

thanks

Answer 4

:)