If $F'(x) = 4x^3 - 6x$ and $F(2) = 3$ , what is $F(x)$ ?

x^{4} - 3 x^{2} + 3

Correct answerYour answer

x^{4} - 3 x^{2} + 1

Correct answerYour answer

12 x^{2} - 6

Correct answerYour answer

x^{4} - 3 x^{2} - 1

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

Worth noting

$+3$ copies $F(2)$ into the constant without working out $x^4 - 3x^2$ at $x = 2$ .

Ten questions from Indefinite Integrals, at your own pace.

Ten questions from Indefinite Integrals, at your own pace.

If F′(x)=4x3−6xF'(x) = 4x^3 - 6xF′(x)=4x3−6x and F(2)=3F(2) = 3F(2)=3, what is F(x)F(x)F(x)?