03-04-2017
Mathematics

contestada

What is the integral of sec x (sec x + tan x ) dx

Respuesta :

LammettHash LammettHash

03-04-2017

[tex]\sec x(\sec x+\tan x)=\sec^2x+\sec x\tan x[/tex]

Recall that [tex](\tan x)'=\sec^2x[/tex], and [tex](\sec x)'=\sec x\tan x[/tex].

So,

[tex]\displaystyle\int \sec x(\sec x+\tan x)\,\mathrm dx=\tan x+\sec x+C[/tex]

Answer Link

Otras preguntas

Sally was asked to find two integers such that one is three less than 4 times the other and the sum of the two integers is 42. The integers must be _____. A. 14

Which BEST describes the origin of the religion of Buddhism? A It was brought by the Aryans from Central Asia. B It was based on traditional Dravidian beliefs.

Find an equation of the tangent line to the curve at the given point. y = sec x, (π/6, 2√3/3)

All are examples of speed except ______ -5 miles per hour -6 miles per hour north -125 meters per second

5. A city finds its residents are moving to the suburbs. Its population is decreasing by 4% per year. If the initial population of the city was 100,000, what

what is the name for the gaseous sphere surrounding earth

A go-kart's speed is 607,200 ft per hour. What is the speed in miles per hour?

how long does it take for plaque to renew itself on the tooth surfaces?

Carbon-14 has a half-life of 5730 years. In a plant fossil, you find that the 14C has decayed to 1/16.0 of the original amount. How long ago was this plant aliv

After its first day of life, a baby blue whale started growing . It grew 47.075 inches. If the average baby blue whale grows at a rage of 1.5 inches a day , for