brin6uri2faroo
brin6uri2faroo brin6uri2faroo
  • 15-06-2016
  • Mathematics
contestada

Evaluate the integral: ∫dx/(sqrt((x^2)+16))

Respuesta :

Fluxions
Fluxions Fluxions
  • 15-06-2016
let x=4tanβ, then dx = 4sec²βdβ.  Now

    ∫(4sec²β)/(4secβ)dβ
=  ∫secβdβ
=  ln |tanβ - secβ| + c
=  ln |(x/4) - (√(x²+16)/4| + C
=  ln |x/√(x²+16)

Answer Link

Otras preguntas

add and simplify  9/16=1/2=?
who was the first president of the united states of america
Why are some examples of a chemical reaction not actually foolproof evidence that of a chemical reaction?13, 8th grade, and I'm doing my science lab report: The
add and simplify  9/16=1/2=?
Alex built a snowman using three snowballs,one small, one medium and one large, with diameters in the ratio 2:3:5.      Although highly unlikely due to the phys
Why are some examples of a chemical reaction not actually foolproof evidence that of a chemical reaction?13, 8th grade, and I'm doing my science lab report: The
who was the first president of the united states of america
who was the first president of the united states of america
log3(2x-5)=2 Answer is 41/2.  Why?
(−2x0y3 )(4x2y4 )+(2y5 )(3xy)2