What is the definite integral here?

We can do
sec t=1/cos t
tan=(sint)/(cost)

then
4sect(tant-sect)=
4/cost(sint/cost-1/cost)=
4/cost((sint-1)/cost)=



undistribute 4

seperate


integrate seperately

u subsitute
u=cos(t)
du=-sin(t)

use the power rule since


other part
=tan(t) as defined by the integral rule

now we got

=
now we can do

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