Need help question #4. Show steps please

Question

asked Aug 17, 2022 119k views

1 Answer

Jkteater · Answer 1 · 2022-08-22T08:53:34+0000

Answer:

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.