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Can someone help me with some intergral work?

0 votes
I have a few questions on this take home quiz and I have no iea how to do it

1) intergral of: (dx)/(e^(2x)+5)

2) intergral of: (x+3)/(x^2+9)

3) intergral of: (sin2x)/(1+cos^2(2x))

I now for the third one a trig identity is involved but I don't know how to do the rest
asked Jul 24, 2014 in PRECALCULUS by anonymous

3 Answers

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Do partial fractions.

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Constant => 5 A = 1 => A = 1/5.

v coefficient => A + B = 0 => 1/5 + B = 0 => B = -1/5.

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answered Jul 25, 2014 by joly Scholar
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2) image

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Substitute u and v values.

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answered Jul 25, 2014 by joly Scholar
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3) image

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Substitute v value.

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Substitute u value.

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answered Jul 25, 2014 by joly Scholar

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