# Lesson Worksheet: Antiderivatives Mathematics • 12th Grade

In this worksheet, we will practice finding the antiderivative of a function. The antiderivative of a function f(x) is the function F(x) where F′(x) = f(x).

Q1:

Find the most general antiderivative of the function .

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Q2:

Find the most general antiderivative of the function .

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Q3:

Determine the most general antiderivative of the function .

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Q4:

Find the most general antiderivative of the function .

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Q5:

If and are both antiderivatives of the same function , what is the relation between and ?

• A must be the double of .
• B is a constant.
• C must be equal to .
• D must be a constant.
• EOnly one of them is undefined.

Q6:

By considering the product rule, find a function so that .

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Q7:

If , determine .

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Q8:

Determine if .

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Q9:

Determine the antiderivative of the function where .

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Q10:

Determine the function if and .

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This lesson includes 25 additional questions and 252 additional question variations for subscribers.