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What is the integration of cos3x​

2 Answers

3 votes

Answer:

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.

User Erez
by
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4 votes

Answer:

1/3 sin(3x)+C

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

User Chase Sandmann
by
8.3k points

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