Question

Integrate 1∫^-1 (2-x/3) dx

Answer 1

Explanation:

`\int~x^(-1)(2-x/3) dx \\\int(2-x/3)/(x) dx\\=\int(2)/(x) dx-\int~x^(-2/3)~dx\\=2 ln ~x-(x^(-2/3+1))/(-2/3+1) +c\\=lnx^2-3x^(1/3)+c`