IXL - Find antiderivatives (Calculus practice)

What is the general form of the antiderivative of

(

)

–

sin

(

)

(

)

–

cos

(

)

(

)

–

sec

(

)

(

)

cos

(

)

(

)

tan

(

)

ref_doc_title.

Learn with an example

question

What is the general form of the antiderivative of

(

)

–

(

)

(

–

)

3/2

(

)

cos

-1

(

)

(

)

sin

-1

(

)

(

)

key idea

A function

(

)

is an antiderivative of a function

(

)

(

)

(

)

(

)

for every

(

)

In this case, every antiderivative of

(

)

(

)

has the form

(

)

for an arbitrary constant

This is called the general form of the

antiderivative.

solution

You were asked to select the general form of the antiderivative of

–

To do so, take the derivative of each answer choice, and identify the one that shows the general form of a function whose derivative is equal to

–

The derivative of

sin

-1

(

)

is equal to

–

so this answer choice is the general form of the antiderivative of

(

)

green checkmark

(

)

–

The derivatives of the remaining answer choices are not equal to

–

red X symbol

′

(

)

(

–

)

5/2

red X symbol

′

(

)

–

red X symbol

′

(

)

–

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Teacher tools

Work it out

Not feeling ready yet? These can help:

H.9Find derivatives using the product rule I

H.14Find derivatives using the chain rule I

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