How to integrate 1/sqrt(4+x^2)

Learn the steps on how to integrate 1/sqrt(4+x^2) using trig substitution.

Music by Adrian von Ziegler

[miktheo]

back-substituting the sec(th) could've been more intuitive by reverting back to your triangle diagram. sec(th) = 1/cos(th) and from the diagram cos(th) = 2/sqrt(x^2+4). It's the first time I see someone use the triangle to explain the substitution and it is brilliant. thank you

[ankaparnahajova]

Apart from lovely solution I love the supercalm music. Brilliant.

[barneycasting]

ln|1/2| can be added to the constant of integration and defined as a single constant, C.

[khongocten]

Square root of 4sec^2x is not a 2secx it's the absolute value of 2secx

[greatestever]

where can i find this instrumental?? its beautiful mate

[Jangoo_yt]

Tomorrow is my exam please bless me god

[joaopereira]

this is a immediate integral. you can do it simply by applying exponent rule