consider the function

Question

CONSIDER THE FUNCTION f(x) = 6x³ - 9x² + 5x - 10

an antiderivative of f(x) is F(x) = Ax⁴ + Bx³ + Cx² + Dx

find

A

B

C

D

Answer 1

Hello James,

You would find the antiderivative of each individual term:

The antiderivative of 6x³ is 6 * (1/4) * x⁴ = (6/4)* x⁴ = (3/2)* x⁴

The antiderivative of -9x² is -9*(1/3) * x³ = -3 * x³

The antiderivative of 5x is 5*(1/2) * x² = (5/2)* x²

The antiderivative of -10 is -10*x

With each individual antiderivative set up for you, all you have to do is identify A, B, C, D.

Example: A = 3/2, you can easily figure out the others.