Chapter 3.4: partial fractions

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1
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<p>Solve the following problem. Pay attention to the degrees!</p>

Solve the following problem. Pay attention to the degrees!

-2x - ln|1-x| + (ln|x²+9|)/2 + (arctan(x/3)/2 —→ See page 15 to 16 on week 6 pdf

2
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<p>Solve both problems.</p>

Solve both problems.

i) 1/3(ln|x³+6x|) + c ii) 2ln|x| + 1/2(ln|x²+6| + 3/sqr(6) * arctan(x/sqr(6)) + c ——> See pg 18-19, week 6 pdf

3
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<p>Solve the problem</p>

Solve the problem

a) sin²(2x)/4 + c. b) -cos(4x)/8 + c. c) they are equivalent, by proving that sin²(2x)/4 + c = -cos(4x)/8 + 1/8 which is more or less the same as -cos(4x)/8 + c.

<p>a) sin²(2x)/4 + c. b) -cos(4x)/8 + c. c) they are equivalent, by proving that sin²(2x)/4 + c = -cos(4x)/8 + 1/8 which is more or less the same as -cos(4x)/8 + c. </p>
4
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<p>Solve the problem</p>

Solve the problem

See answer

<p>See answer</p>
5
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<p>Evaluate the indefinite integral</p>

Evaluate the indefinite integral

See answer

<p>See answer</p>
6
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<p>Evalue the indefinite integral</p>

Evalue the indefinite integral

See answer

<p>See answer</p>
7
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<p>Evaluate the indefinite integral (hint: apply u-sub first)</p>

Evaluate the indefinite integral (hint: apply u-sub first)

See answer

<p>See answer</p>
8
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