Question

Integration by trig sub help

Answer 1

\[\int\limits_{}^{}{1 \over t^2\sqrt(t^2+9)} dt\]

Answer 2

I'm not sure if it's 100% integration by trig sub.. I did that way and got to integral secu/(3tan^2u)du but I'm stuck here

@matt1888 sorry I couldn't use the equation thing on the question..

Answer 3

I labeled this triangle this way such taht when we find the other side we get that thing inside of the square root (Well along with the square root-haha)

But anyways to relate those three measurement in the right triangle we will need
\[\tan(\theta)=\frac{t}{3}\]

Answer 4

Use substitution t= a tan(s)