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
Evaluate: 30 - 12÷3×2 =

i need help in discrete mathematics on sets, relations, and functions.


G raph y = sec ( x ) Solution: As with tangent we will have to avoid x's for which cosine is zero (recall that sec x =1/ cos x) Secant will not present at

We contain a piece of cardboard i.e. 14 inches by 10 inches & we're going to cut out the corners as illustrates below and fold up the sides to form a box, also illustrated below. F

Assume that Y 1 (t) and Y 2 (t) are two solutions to (1) and y 1 (t) and y 2 (t) are a fundamental set of solutions to the associated homogeneous differential equation (2) so, Y

how can we prove that an absolute convergent series is convergent but the converse is not true.

at what price a 6.25%rs 100 share be quoted when the money is worth 5%

A leap year has 366 days, therefore 52 weeks i.e. 52 Sunday and 2 days. The remaining 2 days may be any of the following : (i) Sunday and Monday (ii) Monday and Tuesday (iii)

Six times as many people voted in the 2012 election as in the 2008 election.If 162 people voted in 2008,how many people voted in both elections?