josskebpopstr josskebpopstr

11-06-2016
Mathematics

contestada

find the integral of 1/sqrt(x^2-9)

Respuesta :

Fluxions Fluxions

15-06-2016

Let x = 3secβ, then dx = 3secβtanβ

∫dx/√(x²-9) = ∫[(3secβtanβ)/(3tanβ)]dβ
                 = ∫secβdβ
                 = ln |tanβ - secβ| + c
                 = ln |√(x² - 9)/3 - x/3| + C
                 = ln |√(x² - 9)/x| + C

Answer Link

Otras preguntas

these three lengths create a triangle, true or false, will mark brainliest

Analyze the diagram below and complete the instructions that follow.Find the value of x. A.√3B. 3√2/2C. 3√2D. 3√3

Adjective______nounsand pronouns V A. emphasize. B modify. C highlight. D.replace which one of the four answer(

Six less than five times a number is at least thirty- four a) solve the inequality b) graph the solution on a number line c) write the solution in interval no

Figure ABCD is a parallelogram.5x + 3What is the value of x?

if 4 oz of solution is required for 2 Gallons of water. How much of the solution should I use if the amount of water required is 22 ounces? 1 Gallon = 128 Ounc

Solve. {y=x−82x+3y=1 Use the substitution method. (5, −3) (4, −4) (0, −8) (2, −6)

Y intercept 3 and a slope of -6

Kelly drinks 0.5 liters of coffee and 0.3 liters of yogurt drink at breakfast. How much did she drink in total in milliliters?

plzz help i need to know what is on the module 7 6th grade mj world history dba ......btw its fvls plzzzzzzzzzzzz hurryyyyyyyyyyyyyyy my grade depends on it