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

Prove: If two circles are tangent internally at point P and chord PA of the larger circle intersects the smaller circle at B, then the measure of arc PA is eq

Which coupon should Karen use to save the most money on a gold ring originally priced at $316 $100.00 off or 25% off Please help i will give you 14 points if yo

The snake that eats the frog in this food chain is called a

i was wondering on how to do this

There were 75 roasted turkeys at Ally's Eats. Bob's Goods had 4/5 as many roasted turkeys as Ally's Eats. If Ally's Eats had 5/6 as many roasted turkeys as Char

Explain the relationship between humans and mice, and list three ways you can determine this information

I need help on this

calculate the area and volume of the ball of radius: a) r = 4 cm; b) √3 cm

What is the area of the following circle r=2

A company based in the suburbs of Houston manufactures car tires. The company needs to discharge waste products on a daily basis. Which law must the company adh