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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. [0/1 Points] DETAILS PREVIOUS ANSWERS HARMATHAP12 12.2.001. MY NOTES ASK YOU

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**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