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Integration Help (1 Viewer)

blackops23

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Hi, can't seem to do these two questions:

Q1. integrate sqrt[(1+x)/(3+x)]

Q2. integrate (cosx + 3sinx)/(3cosx + 4sinx)

Help is greatly appreciated
 

Hermes1

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the first one is done by rationalising the numerator.

the second one is missing the first part of the question where you usually equate coefficients and find A and B. its hard to explain.
 

blackops23

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the first one is done by rationalising the numerator.

the second one is missing the first part of the question where you usually equate coefficients and find A and B. its hard to explain.
Ok, thankyou for the advice for the 1st question, I seem to have gotten the answer

As for the 2nd one, I know you said it is hard to explain... but is it something to do with partial fractions..? What method exactly would be used here?
Thanks
 

remember1

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there's a formula u can use
numerator=l(denominator)+ m[d/dx(denominator)]
where l and m are constants
then u equate the coefficients of sinx and cosx
 

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