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

Name 5 factors that encourage air pollution

what will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 3.5? a rectangle is shown. the length of the rectangle

Jose tried to balance a chemical equation by adjusting the subscript numerals in the names of the compounds. What can be said about his method? Select one: a. H

In a certain breed of dogs, black hair is dominant and brown hair is recessive. If two parents are heterozygous for black hair, what is the probability that th

use the distributive property to find the product of 987 and6

What would be the most reliable source to consult when creating a healthy weight loss plan

james opened his book with a heart as heavy as

Which of the following describes an atom

an athletes diet should consist of

The monomers of nucleic acids, such as dna and rna, are known as a. proteins. b. nucleotides. c. polypeptides. d. nuclei.