Mr C.

asked • 11/01/19# What is the antiderivative of f(x) = 5x^4– 4x^3 + 2 where f(1) = 6?

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## 1 Expert Answer

Brian Z. answered • 11/01/19

Tutor

New to Wyzant
**Hi**

The anti-derivative of the function

f(x) = 5x^4– 4x^3 + 2 is:

F(x)=x^5 -x^4+2x+constant

according to the rule integrate(x^n)=(1/n+1)x^(n+1)

F(1)=6 2+constant=6 so constant = 4

finally: F(x)=x^5 -x^4+2x+6

Good Luck

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Mark H.

f(1) does not equal 6. f(1) is 5 - 4 + 2 = 3 Please check to see if you have copied the problem correctly11/01/19