Basic integration

 $\int_2^8\ \frac{x}{x^3}\ dx$  

 $\int_0^2\left(4-18x\right)dx$  

 $\int_{-1}^2\left(3x^4+2\right)\left(12x^3\right)dx$  

 $\int_{-1}^12x\left(x^2-3\right)\left(\frac{1}{2}\right)dx$  

 $\int_{-2}^0\left(6x\right)\left(x^2+1\right)^2dx$  

What is u for the function given?

solve

Given  $\frac{d}{dx}\left(\frac{2}{x-3}\right)=g\left(x\right)$  , find  $\int_{-1}^0g\left(x\right)dx$  .

 $\int_1^24^xdx$