I'm having issues with the following substitution problem:
$\displaystyle F (x^2+4x+7)^3(x+2)dx$
Am I correct in assuming that $\displaystyle u=x^2+4x+7$ and $\displaystyle du=2x+2$? or does $\displaystyle du=x+2$?
Where do I go from here?
I'm having issues with the following substitution problem:
$\displaystyle F (x^2+4x+7)^3(x+2)dx$
Am I correct in assuming that $\displaystyle u=x^2+4x+7$ and $\displaystyle du=2x+2$? or does $\displaystyle du=x+2$?
Where do I go from here?
I don't understand why you are stuck. You were thinking about substituting $\displaystyle u=x^2+4x+7$, can you do this substitution ?
$\displaystyle \begin{cases}u=x^2+4x+7\\
(x+2)\,\mathrm{d}x=\frac12\,\mathrm{d}u
\end{cases} \implies \int (x^2+4x+7)^3(x+2)\,\mathrm{d}x=\int \ldots \mathrm{d}u $