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What is the integral of cos(3x) dx?
What is the integral of cos(3x) dx?
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Practice Questions
1 question
Q1
What is the integral of cos(3x) dx?
(1/3)sin(3x) + C
3sin(3x) + C
(1/3)cos(3x) + C
sin(3x) + C
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The integral of cos(3x) is (1/3)sin(3x) + C, where C is the constant of integration.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the integral of cos(3x) dx?
Solution:
The integral of cos(3x) is (1/3)sin(3x) + C, where C is the constant of integration.
Steps: 6
Show Steps
Step 1: Identify the function you want to integrate, which is cos(3x).
Step 2: Recognize that the integral of cos(kx) is (1/k)sin(kx) for any constant k.
Step 3: In this case, k is 3, so we will use k = 3 in our formula.
Step 4: Apply the formula: the integral of cos(3x) is (1/3)sin(3x).
Step 5: Don't forget to add the constant of integration, C, to your answer.
Step 6: Write the final answer: (1/3)sin(3x) + C.
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