(Now use formula 1 from the introduction to this section.)

.

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* SOLUTION 2 :* Integrate
. Use u-substitution. Let

so that

.

Substitute into the original problem, replacing all forms of , getting

(Now use formula 1 from the introduction to this section.)

.

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* SOLUTION 3 :* Integrate
. Rewrite the function and use formula 3 from the introduction to this section. Then

.

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* SOLUTION 4 :* Integrate
. Use u-substitution. Let

so that

,

or

.

Substitute into the original problem, replacing all forms of , getting

(Now use formula 1 from the introduction to this section.)

.

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* SOLUTION 5 :* Integrate
. First, use polynomial division to divide by . The result is

.

In the second integral, use u-substitution. Let

so that

.

Substitute into the original problem, replacing all forms of , getting

(Now use formula 1 from the introduction to this section.)

.

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* SOLUTION 6 :* Integrate
. First, use polynomial division to divide by . The result is

.

In the third integral, use u-substitution. Let

so that

,

or

.

For the second integral, use formula 2 from the introduction to this section. In the third integral substitute into the original problem, replacing all forms of , getting

(Now use formula 1 from the introduction to this section.)

.

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* SOLUTION 7 :* Integrate
. Use u-substitution. Let

so that

.

Substitute into the original problem, replacing all forms of , getting

(Use formula 1 from the introduction to this section.)

.

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* SOLUTION 8 :* Integrate
. Use u-substitution. Let

so that

.

In addition, we can "back substitute" with

.

Substitute into the original problem, replacing all forms of , getting

(Combine and since is an arbitrary constant.)

.

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