C4 Integration Watch

w_ceo
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#1
Report Thread starter 8 years ago
#1
Can someone please explain to me how to do this integration question? Its from Edexcel C4 June 2005:

Use the substitution x = sin x to find the exact value of the integral of 1/(1-x^2)^3/2 between the limits of 1/2 and 0.

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the bear
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if you let x = sin u then dx = du cosu and then you use the relationship sin^{2} u + cos^{2} u = 1 to simplify the bracket...

you also need to remember how to integrate sec^{2}

good luck

the bear

:woo:
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Markh1000
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EDIT: guy above's way is quicker
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w_ceo
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#4
Report Thread starter 8 years ago
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(Original post by the bear)
if you let x = sin u then dx = du cosu and then you use the relationship sin^{2} u + cos^{2} u = 1 to simplify the bracket...

you also need to remember how to integrate sec^{2}

good luck

the bear

:woo:
right, i think i get it now, cheers
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the bear
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(Original post by Markh1000)
EDIT: guy above's way is quicker
hey Markh1000 your way is cool too !! Double angles rock !!

the bear

:woo: :woo:
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Markh1000
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(Original post by the bear)
hey Markh1000 your way is cool too !! Double angles rock !!

the bear

:woo: :woo:
Haha thanks
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