.

Now let

and

so that

and .

Therefore,

.

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* SOLUTION 17 :* Integrate
. Note that

.

Let

and

so that

and .

Therefore,

.

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* SOLUTION 18 :* Integrate
. Note that

.

Let

and

so that

and .

Therefore,

+ C

+ C .

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* SOLUTION 19 :* Integrate
. Note that

.

Let

and

so that

and .

Therefore,

.

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* SOLUTION 20 :* Integrate
. Note that

.

Let

and

so that

and .

Therefore,

.

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* SOLUTION 21 :* Integrate
. Note that

.

Let

and

so that

and .

Therefore,

.

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* SOLUTION 22 :* Integrate
.
Let

and

so that

and .

Therefore,

.

Use integration by parts again. let

and

so that

and .

Hence,

.

To both sides of this "equation" add , getting

.

Thus,

(Combine constant with since is an arbitrary constant.)

.

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* SOLUTION 23 :* Integrate
. Use integration by parts. Let

and

so that

and .

Therefore,

.

Use integration by parts again. let

and

so that

and .

Hence,

.

From both sides of this "equation" subtract , getting

.

Thus,

(Combine constant with since is an arbitrary constant.)

.

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Duane Kouba 2000-04-23