Question

transformation trigo integral

Answer 1

did you try t = tan x ?

Answer 2

yes. i got dt= sec^2 x dx

Answer 3

also write
\(sec^4 = sec^2 \times sec^2 \)
write one\( sec^2 = 1+tan^2 \)

Answer 4

\(\sqrt t s^4 = \sqrt t s^2 \times s^2 dx = \sqrt t (1+t^2) \times s^2 dx\)
and you already got s^2 dx =dt

Answer 5

t = tan
s= sec

Answer 6

Okay, im following =)

Answer 7

whats your new integral in terms of t ?

Answer 8

wait. ill solve this. =)

Answer 9

could you solve ? any doubts ?

Answer 10

yes

Answer 11

i got