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phinah 19 Jun 2018, 17:51
In example 4, the numerator in the next-to-last step is `(1/2)x + 1.`
How did you go from that to the numerator 'x+2' in the final step?
11. Integration By Partial Fractions
Stuck at the next-to-last step. Do not know how to handle the 'x' in the numerator.
X
In example 4, the numerator in the next-to-last step is `(1/2)x + 1.` How did you go from that to the numerator 'x+2' in the final step?
Relevant page <a href="https://www.intmath.com/methods-integration/11-integration-partial-fractions.php">11. Integration By Partial Fractions</a> What I've done so far Stuck at the next-to-last step. Do not know how to handle the 'x' in the numerator.
Murray 19 Jun 2018, 20:27
@Phinah: If I multiply a number by `2/2`, does the value of that number change...?
X
@Phinah: If I multiply a number by `2/2`, does the value of that number change...?
X
No because you are multiplying it by 1
X
You are multiplying the number by 1
Murray 22 Jun 2018, 08:12
So I gather you can see how
`(1/2x+1)/(x^2+1)`
becomes
`(x+2)/(2(x^2+1))`
now?
X
So I gather you can see how `(1/2x+1)/(x^2+1)` becomes `(x+2)/(2(x^2+1))` now?
X
Yes! Thanks.
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