# FP2 CalculusWatch

#1
Can anybody help me integrate (x+2)/(4-x^2)^1/2 ?
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10 years ago
#2
Split up the fraction and then use a substitution, for the first fraction and recognize the integral of the second fraction.
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10 years ago
#3
well split it as x/(4-x^2)^1/2 and 2/(4-x^2)^1/2

the former is reverse of chain rule. the latter is arcsin function.
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10 years ago
#4
split it up like so

for the first one its a simple substitution, and the second one you should recognize the form for a trig sub
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#5
Can you explain the reverse of the chain rule part please?
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10 years ago
#6
its just integration by substitution you should remember this from C4 (if you do edexcel)
we define
therefore

we substitute them into the integral like so

the the x's cancel so were left with

remember it now?
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#7
By doing that I end up with -4(4-x^2)^1/2 which isnt right
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10 years ago
#8
you integrated it wrong, its a C1 integral you really need more practice at these can rewrite that as:

now remember the rule

where a and n are constants

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