Question

Hi please solve this int

Answer 1

\[\int\limits_{}^{}\sqrt{2+t^2}dt\] with easier way

Answer 2

this a standard form of the type sqrt(a^2 +x^2)
you should memorize the formula
otherwise, you can always substitute t = (sqrt2)tan x

Answer 3

friend what is the formula for such int ?

Answer 4

with replacing t=... I reach \[\int\limits_{}^{}\sec ^{3}xdx\]
I think after I must use part by part int but it takes lot time