Damilola24 Damilola24
  • 08-06-2019
  • Mathematics
contestada

What is the integration of cos3x​

Respuesta :

freckledspots freckledspots
  • 08-06-2019

Answer:

1/3 sin(3x)+C

Step-by-step explanation:

int (cos(3x) dx)

Let u=3x then du=3 dx so 1/3 du=dx

rewriting integral

int(1/3 cos(u) du)

now evaluating

1/3 sin(u)+C    since (sin(u))'=cos(u)

Replace u with 3x

Answer is 1/3 sin(3x)+C

Answer Link
kundamambwe499
kundamambwe499 kundamambwe499
  • 08-06-2019

Answer:

Step-by-step explanation:

Integral of cos3x = ⅓sin3x

So when integrating just simply multiply by reciprocal of the cooeffecient of the angle and the integral of that particular trig ratio, in this case it's the sinx.

Answer Link

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