Question

find this question pls​

Answer 1

$\rm{\int \:3x^2dx}$

• Take the Constant Out $\sf{\int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx}$

$\rm{=3\cdot \int \:x^2dx}$

• Apply the Power Rule : $\sf{\displaystyle\int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1}$

$\rm{\displaystyle=3\cdot \frac{x^{2+1}}{2+1}}$

$\rm{=3\cdot \dfrac{x^3}{3}}$

$\rm{=x^3}$

• Add a Constant to Solution

$\rm{=x^3+C}$