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

A bag contains the following marbles: 8 black marbles, 12 blue marbles, 18 brown marbles, and 6 green marbles. What is the ratio of brown marbles to blue marble

what is a good question for me to ask that i can put up for 100 points?

According to the Law of Conservation of Matter, if I have an Oreo cookie that weighs 20 grams and I crush it into crumbs for a recipe, how much do the crumbs we

What’s the correct answer answer asap for brainlist

solve the question x - 2 = long division 4x

A one-day pass to an amusement park costs $40. A round-trip bus ticket to the park costs $5. Write two equivalent expressions to find the total cost of a one-da

A 40 inch board is to be cut into three pieces so that the second price is 4times as long as the first piece and the third piece is 5 times as long as the first

The measure of an angle is 34.6°. What is the measure of its complementary angle?

100 POINTS 6 different answers needed, and a chart filled out I'll work on it on my own, but I do need some help and it would also be nice to compare my answe

1/10 + -9/10 = what in fraction form