Explanation:
Sure, I can help you with those.
**7. [-/1 Points] DETAILS HARMATHAP12 12.1.035. MY NOTES ASK YOUR TEACHER**
If si F(x) dx = 3x8 - 6x4 + C, find f(x). f(x) = 8.
**Solution:**
We know that the indefinite integral of F(x) dx is F(x) + C. We are given that si F(x) dx = 3x8 - 6x4 + C. We also know that f(x) = 8. Therefore, we have the following equation:
```
F(x) + C = 3x8 - 6x4 + 8
```
We can solve for C by setting x = 0. When x = 0, F(x) = 0 and f(x) = 8. Therefore, we have the following equation:
```
C = 8
```
Now that we know C, we can find F(x).
```
F(x) = 3x8 - 6x4 + 8
```
**Answer:**
f(x) = 3x8 - 6x4 + 8
**0/1 Points] DETAILS PREVIOUS ANSWERS HARMATHAP12 12.2.001. MY NOTES ASK YOU**
Find the differential of the function. u = 4x4 + 2 du = 16r3 x.
**Solution:*
The differential of u is du = 16x3 dx.
**Answer:** = 16x3 dx