Question

Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.) f ''(x) = 28x3 − 15x2 + 10x f(x) =

Name: find f use c for the constant of the first antiderivative and d for the constant of the second antiderivative f x 28x3 15x2 10x fx 27783
Uploaded: 2023-09-12T10:22:53-08:00
Duration: 2 min 3 s
Channel: Adi S
Description: find f use c for the constant of the first antiderivative and d for the constant of the second antiderivative f x 28x3 15x2 10x fx 27783

          Find f. (Use C for the constant
of the first antiderivative and D for the
constant of the second antiderivative.)
f ''(x)
= 28x3 − 15x2 + 10x
f(x) =

Added by Mary C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

09/12/2023

Step 1

To do this, we will integrate f''(x) with respect to x: f'(x) = ∫(28x^3 - 15x^2 + 10x) dx Now, we will integrate each term separately: ∫28x^3 dx = (28/4)x^4 = 7x^4 ∫(-15x^2) dx = (-15/3)x^3 = -5x^3 ∫10x dx = (10/2)x^2 = 5x^2 Now, we will add a constant C Show more…

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