# Worksheet: Antiderivatives

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:

Determine the most general antiderivative of the function .

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Q2:

Find the antiderivative of the function .

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Q3:

If , determine .

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Q4:

Find the most general antiderivative of the function .

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Q5:

Determine the most general antiderivative of the function .

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Q6:

Determine the antiderivative of the function where .

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Q7:

Determine the most general antiderivative of the function .

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Q8:

Find the most general antiderivative of the function .

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Q9:

Find the most general antiderivative of the function .

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Q10:

Find the most general antiderivative of the function .

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Q11:

Determine the most general antiderivative of the function .

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Q12:

Determine the most general antiderivative of the function .

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Q13:

Determine the most general antiderivative of the function if and .

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Q14:

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

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Q15:

Find the most general antiderivative of the function .

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Q16:

Determine the family of functions for which .

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Q17:

Determine the function if and .

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Q18:

Determine if .

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Q19:

Find the most general antiderivative of the function .

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