I can't seem to figure out how to integrate this.(adsbygoogle = window.adsbygoogle || []).push({});

integ ( sqrt (1+x^2) dx )

I am pretty sure I need to substitute the inside but I cannot figure out what. I have tried substituting x = tan theta, and i get stuck at integral (sec (theta)^3 dtheta)

here is my work: (I am goin to use q as theta)

integ ( sqrt (1+x^2) dx )

let tan q = x

sec^2q dq = dx

integ ( sqrt (1+tan^2q) sec^2 q dq )

= integ (sqrt (sec^2 q) sec^2 q dq ) (trig identity)

= integ (sec q (sex^2 q) dq)

= integ (sec^3 q dq)

= integ (1/sin^3 q dq)

and I am stuck here.....

unless this is the wrong substitution, in which case, i have no clue.

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