If oil leaks from a tank at a rate of r(t) gallons per minute at time t, what does ∫ 0 120 r(t) dt represent?

The total amount of oil that has leaked out in gallons in 120 minutes.

The total rate that the oil has leaked out in gallons per minute over 120 minutes.

The total time in minutes that the oil leaked out.

The average amount of oil that has leaked out in gallons over 120 minutes.

Indefinite Integral Quiz

Authored by Alicia Kimble

Mathematics

12th Grade

CCSS covered

Used 194+ times

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26 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is an Antiderivative?

The opposite of a derivative

The same as a derivative

A second derivative

It always represents velocity

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

When do you add C when finding Antiderivatives?

Never

Sometimes

Always

Seldom

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What does C represent in an Antiderivative?

A variable

Unknown

A constant

None of these

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the Antiderivative of $\frac{1}{3}x^3-5x$ .

$12x^4-5x^2+C$

$\frac{1}{12}x^4-\frac{5}{2}x^2+C$

$\frac{1}{12}x^3-5x^2+C$

$\frac{1}{12}x^4-5x^2+C$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Integrate $\int\left(-20x^3-6x^{-3}\right)dx$

$-5x^4+\frac{3}{x^2}+C$

$-20x^4-\frac{6}{x^2}+C$

$-5x^3+\frac{3}{x^3}+C$

$-20x^4+\frac{3}{2}+C$

∫ 4 dx

4t + C

4x + C

2x² + C

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Indefinite Integral

What is an Antiderivative?

When do you add C when finding Antiderivatives?

What does C represent in an Antiderivative?

Find the Antiderivative of 13x3−5x\frac{1}{3}x^3-5x31​x3−5x .

Integrate ∫(−20x3−6x−3)dx\int\left(-20x^3-6x^{-3}\right)dx∫(−20x3−6x−3)dx

∫ 4 dx

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Find the Antiderivative of $\frac{1}{3}x^3-5x$ .

Integrate $\int\left(-20x^3-6x^{-3}\right)dx$