Integral step help

S

Shinta

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Joined
May 5, 2014
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3
Hello!

I am trying to do a math problem that i do not need the answer to, rather just a step I am confused about.

The problem is to integrate (x^2)*(2x+6)^1/2 dx
The next known step is "For the integrand x^2 *(2x+6)^1/2, substitute u=(2x+6^1/2) and du=1/(2x+6)^1/2
= (integral of) (1/4)(u^2)((u^2)-6)^2 du

This is shown in one step, is it possible I can get that step expanded?
Sorry I am unsure how to do the signs, any help is appreciated thanks!
 
Shinta said:
Hello!

I am trying to do a math problem that i do not need the answer to, rather just a step I am confused about.

The problem is to integrate (x^2)*(2x+6)^1/2 dx
The next known step is "For the integrand x^2 *(2x+6)^1/2, substitute u=(2x+6^1/2) and du=1/(2x+6)^1/2
= (integral of) (1/4)(u^2)((u^2)-6)^2 du

This is shown in one step, is it possible I can get that step expanded?
Sorry I am unsure how to do the signs, any help is appreciated thanks!
Click to expand...

Do you know how to differentiate:

u = (2x+6)^(1/2)

Using power rule and chain rule and product rule?
 
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