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First we look at the double-angle identity of cos2x.
We know that:
cos2x = cos^2x - sin^2x
cos2x = [1-sin^2x] - sin^2x.............. (From sin^2x + cos^2x = 1, cos^2x = 1 - sin^2x)
Therefore:
cos2x = 1 - 2sin^2x
2sin^2x = 1 - cos2x
sin^2x = 1/2(1-cos2x)
sin^2x = 1/2 - cos2x/2
And intergrating, we get:
x/2 - sin2x/4 + c...................(Integral of cos2x = 1/2sin2x; and c is a constant)
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What is sine squared?
Answer 1 Put simply, sine squared is sinX x sinX. However, sine is a function, so the real question must be 'what is sinx squared' or 'what is sin squared x': 'Sin(x) squared' would be sin(x^2), i.e. the 'x' is squared before performing the function sin. 'Sin squared x' would be sin^2(x) i.e. sin squared times sin squared: sin(x) x sin(x). This can also be written as (sinx)^2 but means exactly the same. Answer 2 Sine squared is sin^2(x). If the power was placed like this sin(x)^2, then the X is what is being squared. If it's sin^2(x) it's telling you they want sin(x) times sin(x).
Integral of x cosx dx?
The integral of x cos(x) dx is cos(x) + x sin(x) + C
What is the integral of 1 over x squared plus 1?
arctan(x)
What the integral of cotx?
∫ cot(x) dx is written as: ∫ cos(x) / sin(x) dx Let u = sin(x). Then, du = cos(x) dx, giving us: ∫ 1/u du So the integral of 1/u is ln|u|. So the answer is ln|sin(x)| + c
What is the integral of x sin pi x?
The method to use is 'integration by parts'; set u =x; du=dx; dv = sin(pi x)dx; v = cos(pi x)/pi. so integral(u dv) = u*v - integral(v du) then repeat the process.
Integral of sine squared x?
.5(x-sin(x)cos(x))+c
Integral of 1 divided by sinx cosx?
Integral of [1/(sin x cos x) dx] (substitute sin2 x + cos2 x for 1)= Integral of [(sin2 x + cos2 x)/(sin x cos x) dx]= Integral of [sin2 x/(sin x cos x) dx] + Integral of [cos2 x/(sin x cos x) dx]= Integral of (sin x/cos x dx) + Integral of (cos x/sin x dx)= Integral of tan x dx + Integral of cot x dx= ln |sec x| + ln |sin x| + C
Why sin integral is cos?
sin integral is -cos This is so because the derivative of cos x = -sin x
What is sine squared?
Answer 1 Put simply, sine squared is sinX x sinX. However, sine is a function, so the real question must be 'what is sinx squared' or 'what is sin squared x': 'Sin(x) squared' would be sin(x^2), i.e. the 'x' is squared before performing the function sin. 'Sin squared x' would be sin^2(x) i.e. sin squared times sin squared: sin(x) x sin(x). This can also be written as (sinx)^2 but means exactly the same. Answer 2 Sine squared is sin^2(x). If the power was placed like this sin(x)^2, then the X is what is being squared. If it's sin^2(x) it's telling you they want sin(x) times sin(x).
What is sin squared x minus cos squared x?
Sin squared, cos squared...you removed the x in the equation.
What is the integral of the sine of x divided by the cosine squared of x with respect to x?
∫ sin(x)/cos2(x) dx = sec(x) + C C is the constant of integration.
What is the integral of cosec squared x?
-cotan(x)
Integral of sec squared radical x?
integral of radical sinx
What is the integral of sin x?
-cos x + Constant
Is 2 sin squared x the same as 2 sin x?
No.
Integral of x cosx dx?
The integral of x cos(x) dx is cos(x) + x sin(x) + C
Cos x sin x integral?
sin2x + c
