- #1

- 10

- 0

^{2}+ 1)

^{2}?

i have tried integration by partial fractions but when you set 1 equal to (Ax +B)(x

^{2}+1) + (Cx + D) this leads to A=B=C=0 and D=1 which just gives you the original equation

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- Thread starter timjones007
- Start date

- #1

- 10

- 0

i have tried integration by partial fractions but when you set 1 equal to (Ax +B)(x

- #2

- 42

- 0

Try subbing x=tan(u), dx=1/cos^2(u)

- #3

- 67

- 0

here is a quick wiki i found for with general trig substitution laws when you are integrating. the second demonstration is what you need.

http://en.wikipedia.org/wiki/Trigonometric_substitution

- #4

- 1,851

- 7

Partial fraction in terms of the complex linear fractions 1/(x±i) and 1/(x±i)^2 will also work. You can then take together terms with their complex conjugate and then rewrite everything in a manifestly real form (you need to use the relation between the logarithm and arctan etc.).

- #5

- 10

- 0

ah thank you that works

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