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Why does -2sinxcosx equal -sin2x?
-4
Integral of cosine squared x?
Integral of cos^2x=(1/2)(cosxsinx+x)+CHere is why:Here is one method: use integration by parts and let u=cosx and dv=cosxdxdu=-sinx v=sinxInt(udv)=uv-Int(vdu) so uv=cosx(sinx) and vdu=sinx(-sinx)so we have:Int(cos^2(x)=(cosx)(sinx)+Int(sin^2x)(the (-) became + because of the -sinx, so we add Int(vdu))Now it looks not better because we have sin^2x instead of cos^2x,but sin^2x=1-cos^2x since sin^2x+cos^2x=1So we haveInt(cos^2x)=cosxsinx+Int(1-cos^2x)=cosxsinx+Int(1)-Int(cos^2x)So now add the -Int(cos^2x) on the RHS to the one on the LHS2Int(cos^2x)=cosxsinx+xso Int(cos^2x)=1/2[cosxsinsx+x] and now add the constant!final answerIntegral of cos^2x=(1/2)(cosx sinx + x)+C = x/2 + (1/4)sin 2x + C(because sin x cos x = (1/2)sin 2x)Another method is:Use the half-angle identity, (cos x)^2 = (1/2)(1 + cos 2x). So we have:Int[(cos x)^2 dx] = Int[(1/2)(1 + cos 2x)] dx = (1/2)[[Int(1 dx)] + [Int(cos 2x dx)]]= (1/2)[x + (1/2)sin 2x] + C= x/2 +(1/4)sin 2x + C
If x equals 10 and y equals 10 then 9x plus 8y equals?
If x equals 10 and y equals 10, then 9x plus 8y equals 170.
Find the measure of this angles m1 equals 123 m8 equals?
Find the measure of this angles m1 equals 123 m8 equals?
What is the difference between x equals 3 and x equals equals 3?
The second would suggest that x equals the string "=3".
What is 1-cosxsinx plus 1 plus cosxsinx?
2
When are y equals sin x and y equals cos x equal?
y=sinx y=cosxsinx=cosx=>sinx/cosx=1=>tanx=1=>x=45oie.. y=sin45=cos45y=1/(square root of 2)
Why does -2sinxcosx equal -sin2x?
-4
How do you prove that integral sinx plus cosxsinx-cosx plus 2 cos2xdx equals 3?
Without specifying the limits of integration, the integral will always include an arbitrary constant, and you'll never get a numerical value for it. So the statement is untrue on its face, hence unprovable. We'll have a look at the trig later.
What is the value of x for which cosxsinx 0.5?
You know that cosπ/4 and sinπ/4 both equal 1/root2, so multiplying them gets 1/2.
Is sin 2x equals 2 sin x cos x an identity?
YES!!!! Sin(2x) = Sin(x+x') Sin(x+x') = SinxCosx' + CosxSinx' I have put a 'dash' on an 'x' only to show its position in the identity. Both x & x' carry the same value. Hence SinxCosx' + CosxSinx' = Sinx Cos x + Sinx'Cosx => 2SinxCosx
What is the difference between ' equals equals ' and ' equals equals equals?
one equals
What does this mean 8 equals equals equals equals equals equals equals equals equals equals D?
That 8 might equal D. Trashed. "Eight Equals D" is: 8=D Which is a penis smiley -.- ~ Skullcandy88
What is a trick that is spelled the same way equals D equals D equals D equals D equals D equals D?
equals D repeater
What does 8 equals equals equals equals equals equals D mean?
(It's a penis) 8=====D 8 = balls D = head
What number is spetember if January equals 73 February equals 83 March equals 51 April equals 52 May equals 31 June equals 42 July equals 41 August equals 63 September equals?
93
What number is spetember if January equals 73 february equals 83 march equals 51 April equals 52 may equals 31 June equals 42 July equals 41 august equals 63 September equals and what is logic?
93
