What is the integratin of 1/sin2x?, Mathematics

Assignment Help:

∫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)]


Related Discussions:- What is the integratin of 1/sin2x?

Quan. literacyprofiency, 3.20 euros per kilogram, 1 kilogram =2.2 pounds an...

3.20 euros per kilogram, 1 kilogram =2.2 pounds and current exchange rate is $1=0.9 euros. what is the price per pound?

Classical probability, Classical Probability Consider the experiment o...

Classical Probability Consider the experiment of tossing a single coin. Two outcomes are possible, viz. obtaining a head or obtaining a tail. The probability that it is a tail

INVESTING MONEY, HOW MANY SHARES CAN I BUY WITH 1000 DOLLARS

HOW MANY SHARES CAN I BUY WITH 1000 DOLLARS

Index of summation - sequences and series, Index of summation - Sequences a...

Index of summation - Sequences and Series Here now, in the i is termed as the index of summation or just index for short and note that the letter we employ to represent

Find the maxima and minima - equal pi, 1) Find the maxima and minima of f(x...

1) Find the maxima and minima of f(x,y,z) = 2x + y -3z subject to the constraint 2x^2+y^2+2z^2=1 2) Compute the work done by the force ?eld F(x,y,z) = x^2I + y j +y k in moving

Unipolar and bipolar boolean inputs, A 4-input Neuron has weights (1,-1,  0...

A 4-input Neuron has weights (1,-1,  0,  0.5.Calculate the network output when the following input vectors are applied. For calculation assume: a. f(net) = unipolar bina

Find x if circle passes through -3, The centre of a circle is (2x - 1, 3x +...

The centre of a circle is (2x - 1, 3x + 1).Find x if the circle passes through (-3,-1) and the length of the diameter is 20 units.

Whta is truth table, What is a truth table? Distinguish between Tautology &...

What is a truth table? Distinguish between Tautology & Contradiction?

Krystal, what is the tenths place

what is the tenths place

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd