Trig Substitutions--Intergration of x^4 / (x^2 + 5)^(1/2)

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ku1005

Junior Member
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Oct 27, 2006
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Hey, I am trying to answer the follwoign question, however the method I would use is not allowed?

It involves solving the following :



I would solve by not using trig substition and simple letting

u^2 = x^2 + 5

therby removing the annoyin "sqrt" from the equation and simplifying the numerator to a simple polynomial.

However, I have to answer the question using a suitable Trig Substitution....

....can anyone help me out here?

cheers
 
Re: Trig Substitutions--Intergration of x^4 / (x^2 + 5)^(1/2

ku1005 said:
Hey, I am trying to answer the follwoign question, however the method I would use is not allowed?

It involves solving the following :



I would solve by not using trig substition and simple letting

u^2 = x^2 + 5

therby removing the annoyin "sqrt" from the equation and simplifying the numerator to a simple polynomial.

However, I have to answer the question using a suitable Trig Substitution....

....can anyone help me out here?

cheers
Click to expand...

\(\displaystyle x = sqrt{5} . tan(u)\)
 
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