Question

Consider the following initial-value problem. f'(x) = 9x^2 - 4x, f(3) = 72 Integrate the function f'(x). (Use C for the constant of integration.) ? f'(x)dx = 3x^3 - 2x^2 + C Find the value of C using the condition f(3) = 72. C = State the function f(x) found by solving the given initial-value problem. f(x) =

          Consider the following initial-value problem.
f'(x) = 9x^2 - 4x, f(3) = 72
Integrate the function f'(x). (Use C for the constant of integration.)
? f'(x)dx = 3x^3 - 2x^2 + C
Find the value of C using the condition f(3) = 72.
C =
State the function f(x) found by solving the given initial-value problem.
f(x) =

Consider the following initial-value problem.
f'(x) = 9x^2 - 4x, f(3) = 72
Integrate the function f'(x). (Use C for the constant of integration.)
? f'(x)dx = 3x^3 - 2x^2 + C
Find the value of C using the condition f(3) = 72.
C =
State the function f(x) found by solving the given initial-value problem.
f(x) =

Added by Christina G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

04/03/2023

Step 1

To do this, we apply the power rule for integration, which states that the integral of x^n is (x^(n+1))/(n+1) + C, where n is a constant and C is the constant of integration. So, we have: ∫(9x^2 + 4x) dx = 9∫x^2 dx + 4∫x dx = 9(x^(2+1))/(2+1) + Show more…

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Consider the following initial-value problem: f'(x) = 9x^2 - 4x, f(3) = 72 Integrate the function f'(x). (Use C for the constant of integration.) ∫ f'(x)dx = 3x^3 - 2x^2 + C Find the value of C using the condition f(3) = 72. C = State the function f(x) found by solving the given initial-value problem. f(x) =