kel4izz2aamn kel4izz2aamn

19-07-2016
Mathematics

contestada

Evaluate the integral of arctan(1/x).

Respuesta :

meerkat18 meerkat18

20-07-2016

let u=arctan (1/x),
du = 1/(1+(1/x)²) * (-1/x²) dx = -1/(x²+1) dx , dv = dx, v = x.

Then,
[1, √3]∫arctan (1/x) dx
x arctan (1/x) |[1, √3] + [1, √3]∫x/(x²+1) dx
√3 arctan (1/√3) - 1 arctan 1 + [1, √3]∫x/(x²+1) dx
π√3/6 - π/4 + [1, √3]∫x/(x²+1) dx

Answer Link

Otras preguntas

Mark the true statement. A) The fascist government discourages private business. B) Fascists usually gain power after a country's economic collapse. C) Hitler l

Change the percent to a decimal. 370% = 0.37 37.0 0.037 3.7 67% = 6.7 0.67 670 0.067 0.43 = 4.3% 43% 0.43% 0.043% 1.3 = 1.3% 13% 0.13% 130% 0.4% = 0.004

Marcel bought a new hat for $21.99 and 2 pairs of socks for $3.99 each. What is the total price including a 7.5% sales tax?

Which primary source document could help a historian understand why the Civil War started?

Which strategy best explains how to solve this problem? George entered his frog in a jumping contest. The frog jumped 2 feet the first jump. On the second jum

A cone has a volume of 1,440\pi cubic centimeters and a height of 30 centimeters. What is the diameter of the cone's base?

Scientists find a new technique to insert genes into apples to allow them to grow in colder climates. Which is an example of a medical or ethical issue that sho

The question below refers to the selection “Games at Twilight.”What has Ravi learned by the end of the story?

Managers have a tendency to let their programmed activities overshadow their nonprogrammed activities because ________.

Almost every job requires a person to multi-task and to work on several things at one time. How will you prepare to be efficient and to handle multiple tasks at