Answer:
C.
Step-by-step explanation:
We are given the integral:
[tex]\displaystyle \int_1^2\frac{x^7-4x^3+6}{x^2}\, dx[/tex]
And we want to select its equivalent form.
We can simply divide the fraction. Therefore:
[tex]=\displaystyle \int_{1}^2\frac{x^7}{x^2}-\frac{4x^3}{x^2}+\frac{6}{x^2}\, dx[/tex]
Simplify:
[tex]\displaystyle =\int_1^2 x^5-4x+6x^{-2}\, dx[/tex]
Our answer is C.
