- #1
duki
- 264
- 0
Homework Statement
[tex]\int x(3x^2+1)^\frac{3}{2}[/tex]
Homework Equations
The Attempt at a Solution
[tex]u=3x^2+1[/tex]
[tex]du=6x dx[/tex]
[tex]\frac{dx}{6}=xdx[/tex]
[tex]\int\frac{du}{6} u^\frac{3}{2}[/tex]
[tex]\frac{1}{6}\int u^\frac{3}{2}du[/tex]
[tex]\frac{1}{6} \frac{u^\frac{5}{2}}{\frac{5}{2}}[/tex]
[tex]\frac{5}{12}u^\frac{5}{2}[/tex]
[tex]\frac{5}{12}(3x^2+1)^\frac{5}{2}[/tex]