What is the general form of an indefinite integral?
∫f(x)dx=F(x)+C
∫f(x)dx=C
∫f(x)dx=F(x)
∫f(x)dx=F(x)−C
39% got this right
What is the antiderivative of 𝑓(𝑥)=5𝑥^4?
(x ^5)/5+C
(5x^5)+C
(x ^5)/4+C
(x^5)+C
20% got this right
The constant of integration 𝐶 in an indefinite integral represents:
An arbitrary constant accounting for multiple solutions
A specific solution
A specific solution
The integral sign
64% got this right
What is the antiderivative of 7𝑥^3−2𝑥?
(7x^4)/4−x^2 +C
(7x^4)/3−x^2 +C
(7x^4)/4−2x^2 +C
(7x^4)/4−x +C
23% got this right
What rule is used when integrating a sum of terms?
Sum and Difference Rule
Product Rule
Chain Rule
Power Rule
44% got this right
What is the integral of 12𝑥^5?
(12x^6)/6 + C
12x^4 + C
12x^6 + C
2x^6 + C
47% got this right
If ∫kf(x)dx is given, what rule allows you to factor out k?
Constant Multiple Rule
Sum and Difference Rule
Power Rule
Product Rule
47% got this right
The antiderivative of 𝑥^𝑛, where 𝑛≠−1, is given by:
X^(n+1)/(n+1) + C
X^(n+1)/(n-1) + C
X^(n-1)/(n-1) + C
X^n/n + C
35% got this right
What is the integral of 4𝑥^3−6𝑥+5?
4x^4/4−6x^2/2+5x+C
x^4−6x^2+5x+C
4x^4/3−6x^2/2+5x+C
X^4−3x^2+5x+C
22% got this right
Which of the following statements is true about indefinite integrals?
They provide a general formula for all possible antiderivatives
They always result in a specific numerical value
They are only applicable to polynomial functions
They represent the area under a curve between two points
