rouahidy5930 rouahidy5930

26-01-2018
Mathematics

contestada

Use the comparison theorem to determine whether the integral is convergent or divergent integral sin^2x/sqrt(x) from 0 to pi

Respuesta :

LammettHash LammettHash

26-01-2018

[tex]-1\le\sin x\le1\implies0\le\sin^2x\le1\implies0<\dfrac{\sin^2x}{\sqrt x}\le\dfrac1{\sqrt x}[/tex]

Does

[tex]\displaystyle\int_0^\pi\frac{\mathrm dx}{\sqrt x}[/tex]

converge?

Answer Link

Otras preguntas

How did Japan plan to solve its economic problems?

do you think that the period from 1350 to 1750 was a period in medicine of mainly change or mainly continuity( continuing old method) ?

A scientist was studying a population of fish in a pond over a period of 10 years. He observed that the population increased each year for 3 years, an

What is the difference between civil and criminal law?

What is the approximate circumference of a circle with a radius of 20 inches? Use π ≈ 3.14. A. 125.6 inches B. 251.2 inches C. 120 inches D. 62.8 inches

Choose the word that best fills-in the blank. His time running this half marathon was _______ compared to his past performances. a. detrimental b. abysmal c. pe

How did some non-Jews oppose Hitler’s “Final Solution”?

Legislative Branch - What is gerrymandering?

Find the GCF of 25n, 21m

do you think that the period from 1350 to 1750 was a period in medicine of mainly change or mainly continuity( continuing old method) ?