Question

Need help question #4. Show steps please

Answer 1

C.

Explanation:

We are given the integral:

`\displaystyle \int_1^2(x^7-4x^3+6)/(x^2)\, dx`

And we want to select its equivalent form.

We can simply divide the fraction. Therefore:

`=\displaystyle \int_(1)^2(x^7)/(x^2)-(4x^3)/(x^2)+(6)/(x^2)\, dx`

Simplify:

`\displaystyle =\int_1^2 x^5-4x+6x^(-2)\, dx`

Our answer is C.