Question

Integrate √(4+x^2)/(x^6) dx

Answer 1

Have you tried integration by parts?

\(u = \sqrt{4+x^2 }, v = x^{-6}\)

Answer 2

Yes, it' don't helping.

Answer 3

hmm...

x = 2 tan y ?

Answer 4

OK checking it ....

Answer 5

Then how we will solve for Denominator.....

Answer 6

with that even i am stuck at cos^3 y/ sin^6 y with some constants outside

Answer 7

Same here..

Answer 8

\[\dfrac{\cos^3y}{\sin^6y} = \cot^3y\csc^3y = \cot y (\csc^2y-1)\csc^3y\]

let \(u =\csc y\)

Answer 9

nice!

would it be a challenge to bring x back?

Answer 10

sure it would be messy haha

Answer 11

I can't reach my answer with it.

Answer 12

how ?

Answer 13

OK I'm trying.....

Answer 14

The cot y is confusing me....