Question

Need help question #4. Show steps please

Answer 1

Answer:

C.

Step-by-step explanation:

We are given the integral:

$\displaystyle \int_1^2\frac{x^7-4x^3+6}{x^2}\, dx$

And we want to select its equivalent form.

We can simply divide the fraction. Therefore:

$=\displaystyle \int_{1}^2\frac{x^7}{x^2}-\frac{4x^3}{x^2}+\frac{6}{x^2}\, dx$

Simplify:

$\displaystyle =\int_1^2 x^5-4x+6x^{-2}\, dx$

Our answer is C.