- #1
afcwestwarrior
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Homework Statement
∫1/ ((t^3) sqrt t^2-1) * dt
Homework Equations
sqrt x^2 - a^2 , x=a sec theta , substitution 0 less than or equal to theta less than pi/2
identity, sec^2 theta-1 = tan^2 theta
The Attempt at a Solution
ok here we go
t= sec theta , dt= sec theta * tan theta
sqrt t^2-1= sqrt sec^2 theta -1 = tan theta
so i plug it in now
∫1/ (t^3) sqrt t^2-1 * dt = ∫dt/ (t^3) sqrt t^2-1=∫ sec theta * tan theta/ sec^3 theta * tan theta
=∫(1/sec^2 theta) * d theta
what do i do now
do i put in 1+ tan^2x for sec^2 theta
and use the u substitution