.

Now use u-substitution. Let

so that

.

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

(Use formula 2 from the introduction to this section.)

.

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* SOLUTION 10 :* Integrate
. First, factor 2 from the denominator. The result is

(Complete the square in the denominator.)

.

Use u-substitution. Let

so that

.

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

(Use formula 3 from the introduction to this section.)

.

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* SOLUTION 11 :* Integrate
. Because of the term in the denominator, rewrite the term in a somewhat unusual way. The result is

.

Now use u-substitution. Let

so that

,

or

.

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

(Use formula 3 from the introduction to this section.)

.

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* SOLUTION 12 :* Integrate
. Use u-substitution. Let

so that (Don't forget to use the chain rule on .)

,

or

.

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

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

.

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* SOLUTION 13 :* Integrate
. First, rewrite the denominator of the function, getting

.

Now use u-substitution. Let

so that

.

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

(Use formula 2 from the introduction to this section.)

.

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* SOLUTION 14 :* Integrate
. Use u-substitution. Let

so that (Don't forget to use the chain rule on .)

,

or

.

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

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

.

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* SOLUTION 15 :* Integrate
. First, rewrite the denominator of the function, getting
(Recall that
.)

.

Now use u-substitution. Let

so that

.

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

(Use formula 2 from the introduction to this section.)

.

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* SOLUTION 16 :* Integrate
. Use u-substitution. Let

so that

,

or

.

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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