Tolong bantuin nomor 5 ya Thanks

misal
m = ax²+b
dm/dx = 2ax
dx = dm/2ax

integral x (ax²+b)^n dx
= integral x m^n dm/2ax
= 1/2a integral m^n dm
= 1/2a * 1/(n+1) m^(n+1) +C
= 1/2a(n+1) * (ax²+b)^(n+1) +C dengan a≠0 dan n≠-1
Jawabannya yang A

U = ax² + b
U' = 2ax
dx = du/U'
dx = 1/2ax

maka hasil dari
[tex]$\begin{align} \int\limits x\ (ax^2+b)^n \ dx &= x \ . \ U^n \ . \ \frac{1}{2ax} + C \\&= \frac{1}{2a}\ \ U^n + C \\&= \frac{^1/_{2a}}{n+1}\ \ U^{n+1} + C \\&= \frac{1}{2a}\times \frac{1}{n+1} U^{n+1} + C \\&= \frac{1}{2a(n+1)} \ U^{n-1} +C\\&= \frac{1}{2a(n+1)} \ (ax^2+b)^{n-1} +C\end[/tex]