Need help question #2. Show steps please

C

Step-by-step explanation:

We want to evaluate the definite integral:

Again, notice that the radicand is quite similar to the outside factor. So, we can use u-substitution again. We will let:

Then:

Hence:

And we can divide both sides by 6:

Note that the limits of integration of our original integral (from x = 0 to x = 1) is in the domain of x. Since we changed variables, we should also change the limits of integration to u. So:

And:

Hence, our new limits of integration is from u = 1 to u = 16.

Perform the substitution:

Simplify:

Integrate:

Simplify:

Evaluate:

The answer is C.

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb