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Understanding primitive function

If F is a primitive function of f, which of the following is true?

∫F = f + c

f' = f

∫f = F + c

Is the sentence true or false? If $F$ is a primitive of $f$ , so is $F+c$ for any constant c.

True

False

Is the sentence true or false?
The primitive function is also called the indefinite integral.

True

False

Is the sentence true or false? The primitive function is also called the indefinite integral.

True

False

What is another name for a primitive function?

Definite integral

indefinite integral

Is the sentence true or false? If $f(x)=x+3x^2$ , then the primitive function $F(f(x))=x^2/2+C$ .

True

False

What is the antiderivative of $f\left(x\right)=2x\ .$

$x+c$

$x^2+c$

$2x+c$

Is the sentence true or false?
Primitive function of a constant function is zero.

True

False

Is the sentence true or false?
For $f\left(x\right)=3x^2$ ,the primitive function $F\left(f\left(x\right)\right)=x^3+c\ .$

True

False

Is the sentence true or false?
If F is a primitive of f, so is F + c for any constant c.

True

False

Questions

Time

Score

Understanding primitive function

If F is a primitive function of f, which of the following is true?

∫F = f + c

f' = f

∫f = F + c

Is the sentence true or false? If $F$ is a primitive of $f$ , so is $F+c$ for any constant c.

True

False

Is the sentence true or false?
The primitive function is also called the indefinite integral.

True

False

Is the sentence true or false? The primitive function is also called the indefinite integral.

True

False

What is another name for a primitive function?

Definite integral

indefinite integral

Is the sentence true or false? If $f(x)=x+3x^2$ , then the primitive function $F(f(x))=x^2/2+C$ .

True

False

What is the antiderivative of $f\left(x\right)=2x\ .$

$x+c$

$x^2+c$

$2x+c$

Is the sentence true or false?
Primitive function of a constant function is zero.

True

False

Is the sentence true or false?
For $f\left(x\right)=3x^2$ ,the primitive function $F\left(f\left(x\right)\right)=x^3+c\ .$

True

False

Is the sentence true or false?
If F is a primitive of f, so is F + c for any constant c.

True

False

Incorrect

Great!

Questions

Time

Score

Understanding primitive function

If F is a primitive function of f, which of the following is true?

∫F = f + c

f' = f

∫f = F + c

Is the sentence true or false? If ﻿FFF﻿ is a primitive of ﻿fff﻿ , so is ﻿F+cF+cF+c﻿ for any constant c.

True

False

Is the sentence true or false?The primitive function is also called the indefinite integral.

True

False

Is the sentence true or false? The primitive function is also called the indefinite integral.

True

False

What is another name for a primitive function?

Definite integral

indefinite integral

Is the sentence true or false? If ﻿f(x)=x+3x2f(x)=x+3x^2f(x)=x+3x2﻿ , then the primitive function ﻿F(f(x))=x2/2+CF(f(x))=x^2/2+CF(f(x))=x2/2+C﻿ .

True

False

What is the antiderivative of ﻿f(x)=2x .f\left(x\right)=2x\ .f(x)=2x .﻿

﻿x+cx+cx+c﻿

﻿x2+cx^2+cx2+c﻿

﻿2x+c2x+c2x+c﻿

Is the sentence true or false?Primitive function of a constant function is zero.

True

False

Is the sentence true or false?For ﻿f(x)=3x2f\left(x\right)=3x^2f(x)=3x2﻿ ,the primitive function ﻿F(f(x))=x3+c .F\left(f\left(x\right)\right)=x^3+c\ .F(f(x))=x3+c .﻿

True

False

Is the sentence true or false?﻿If F is a primitive of f, so is F + c for any constant c.

True

False

Incorrect

Great!

Is the sentence true or false? If $F$ is a primitive of $f$ , so is $F+c$ for any constant c.

Is the sentence true or false?
The primitive function is also called the indefinite integral.

Is the sentence true or false? If $f(x)=x+3x^2$ , then the primitive function $F(f(x))=x^2/2+C$ .

What is the antiderivative of $f\left(x\right)=2x\ .$

$x+c$

$x^2+c$

$2x+c$

Is the sentence true or false?
Primitive function of a constant function is zero.

Is the sentence true or false?
For $f\left(x\right)=3x^2$ ,the primitive function $F\left(f\left(x\right)\right)=x^3+c\ .$

Is the sentence true or false?
If F is a primitive of f, so is F + c for any constant c.