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S sin3X dx

=-1/3 cos3X

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15y ago

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What is the integral of cot squared x?

ln(sinx) + 1/3ln(sin3x) + C


What is the integral of sin x cubed?

= cos(x)-(cos3(x))/3 * * * * * Right numbers, wrong sign! Int(sin3x)dx = Int(sin2x*sinx)dx = Int[(1-cos2x)*sinx]dx = Int(sinx)dx + Int[-cos2x*sinx]dx Int(sinx)dx = -cosx . . . . . (I) Int[-cos2x*sinx]dx Let u = cosx, the du = -sinxdx so Int(u2)du = u3/3 = 1/3*cos3x . . . . (II) So Int(sin3x)dx = 1/3*cos3x - cosx + C Alternatively, using the multiple angle identities, you can show that sin3x = 1/4*[3sinx - sin3x] which gives Int(sin3x)dx = 1/4*{1/3*cos(3x) - 3cosx} + C


How would you solve sin3x equals sinx?

To start, try breaking down sin3x using a double angle formula. Message me if you need more help!


How do you integrate cot3x dx?

1/3ln(sin3x) + C


Integration of cos3 x?

int cos3x=sin3x/3+c


What does the sin3x equal?

sin(3x) = 3sin(x) - 4sin^3(x)


How do you express sin 3x as a polynom with sin x using the De Moivre formula?

According to de Moivre's formula, cos3x + isin3x = (cosx + isinx)3 = cos3x + 3cos2x*isinx + 3cosx*i2sin2x + i3sin3x Comparing the imaginary parts, isin3x = 3cos2x*isinx + i3sin3x so that sin3x = 3cos2x*sinx - sin3x = 3*(1-sin2x)sinx - sin3x = 3sinx - 4sin3x


If sin3x equals 966 then what does x equal?

This has no solution. The sine of any number is always between 1 and -1.


Find the value of the limit x approaches 0 sin3x divided by tan6x?

That's 1/2 .(You have to use l'Hospital's rule.)


Solve 2sinx-sin3x equals 0?

2sinx - sin3x = 0 2sinx - 3sinx + 4sin3x = 0 4sin3x - sinx = 0 sinx(4sin2x - 1) = 0 sinx*(2sinx - 1)(2sinx + 1) = 0 so sinx = 0 or sinx = -1/2 or sinx = 1/2 It is not possible to go any further since the domain for x is not defined.


What is the solution sets for sin3x plus sin2x plus sinx equals 0?

The solitions are in degrees. You may convert them to degrees should you wish. x= 0,90,120,180,240,270,360


What is the indefinite integral of 3sinx-5cosx?

8

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