What is the integratin of 1/sin2x?, Mathematics

∫1/sin2x dx = ∫cosec2x dx = 1/2 log[cosec2x - cot2x] + c = 1/2 log[tan x] + c

Detailed derivation of

∫cosec x dx = ∫cosec x(cosec x - cot x)/(cosec x - cot x) dx

= ∫(cosec2x - cosecxcotx)/(cosecx - cotx) dx

= log[cosecx - cotx] = log[(1-cosx)/sinx]

= log[2sin2(x/2)/2sin(x/2)cos(x/2)]

= log[tan(x/2)]

Posted Date: 3/11/2013 3:07:54 AM | Location : United States







Related Discussions:- What is the integratin of 1/sin2x?, Assignment Help, Ask Question on What is the integratin of 1/sin2x?, Get Answer, Expert's Help, What is the integratin of 1/sin2x? Discussions

Write discussion on What is the integratin of 1/sin2x?
Your posts are moderated
Related Questions
Suppose a  regular polygon , which is an N-sided with equal side lengths S and similar angles at each corner. There is an  inscribed circle  to the polygon that has center C and ba

This problem involves the question of computing change for a given coin system. A coin system is defined to be a sequence of coin values v1 (a) Let c ≥ 2 be an integer constant

how do you add fraction

Multistage sampling Multistage sampling is similar to stratified sampling except division is done on geographical/location basis, for illustration a country can be divided into

Each Child Is Unique :  Although every child goes through similar stages of development, the process may vary from one set of children to another, and also from one child to anoth

Test of hypothesis about the difference among two means The t test can be utilized under two assumptions when testing hypothesis about the difference among the two means; that

A boat tour company charges $11 for a harbour tour and averages 450 passengers on Saturdays. Over the past few months, the company has been experimenting with the price of a tour a

Integration of square root of sin

find the series of the first twenty terms

If a telephone pole weighs 11.5 pounds per foot, how much does a 32-foot pole weigh? Multiply 11.5 by 32; 11.5 × 32 = 368 pounds.