Question

i think im beginning to get the hang of trig substitution \m/ thank you @apoorvk and @Mimi_x3 :DDD but another wild question...when and how to use hyperbolic functions in trig sub?

Answer 1

should i write a problem?

Answer 2

Use the hyperbolic substitution x = a sinh t to show that

\(\huge \int \frac{dx}{\sqrt{x^2 + a^2}} = \sinh^{-1} (\frac{x}{a}) + C\)

Answer 3

Sorry mate, I have no idea about hyperbolic substitutions. :(

Though the answer is the same using simple substitution (i.e. sin^(-1)(x/a) +c )

Answer 4

use x=tanA

Answer 5

oh okay :DDD anyway...back to learning trig sub