Tolong dibantu soal integral... Pake cara yaa

NB : Ane pake latex

[tex]\displaystyle \text{misal :}\\t+1=u\\dt=du\\\\f(x)=\int\limits^{x^3}_0\sqrt{t+1}\,dt\\f(x)=\int\limits^{x^3}_0\sqrt{u}\,du\\f(x)=\left\frac{2}{3}u^\frac32\right|^{x^3}_0\\f(x)=\left\frac{2}{3}(t+1)^\frac32\right|^{x^3}_0\\f(x)=\frac{2}{3}(x^3+1)^\frac32-\frac{2}{3}\\\\f'(x)=\frac32\cdot\frac23\cdot3x^2(x^3+1)^\frac12\\f'(x)=3x^2(x^3+1)^\frac12\\\\f'(2)=3(2)^2(2^3+1)^\frac12\\f'(2)=12(9)^\frac12\\f'(2)=12\cdot3\\\boxed{\boxed{f'(2)=36}}[/tex]