Question

Evaluate the integral from sqrt2 to 2 of (1/(t^(3)sqrt(t^(2)-1))dt

Answer 1

ick. myininaya it is all yours

Answer 2

lol make it readable for me please

Answer 3

i have to go to the restroom

Answer 4

ok i will
\[\int\frac{1}{t^3\sqrt{t^2-1}}dt\]

Answer 5

try
\[u=\sec(\theta)\] to begin with
this is going to be a long one

Answer 6

\[\int\limits_{\sqrt{2}}^{2} 1\div t ^{3}\sqrt{t ^{2}-1} dx\]

Answer 7

ok i'm back

Answer 8

oh not so bad maybe
\[u=\sec(\theta), du=\sec(\theta)\tan(\theta)d\theta \] get
\[\int\frac{\sec(\theta)\tan(\theta)d\theta}{\sec^3(\theta)\sqrt{\sec^2(\theta)-1}}\]

Answer 9

let \[\sec(\theta)=t\]