x^3*(x^2+1)^(1/2)

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- Feb 6th 2008, 10:13 PMAndreametintegration problem
x^3*(x^2+1)^(1/2)

- Feb 7th 2008, 04:04 AMgalactus

If you let

it'll turn it to something much easier. - Feb 7th 2008, 06:44 AMKrizalid
To get rid of the square root, one also can set

- Feb 7th 2008, 06:47 AMSoroban
Hello, Andreamet!

Quote:

. . .

And we have: .

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

Another approach is Trig Substitution . . .

Let

. . and: .

Substitute: .

. .

. .

Then let . . .