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What is the integral of cos(x)dx?
What is the integral of cos(x)dx?
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Practice Questions
1 question
Q1
What is the integral of cos(x)dx?
sin(x) + C
cos(x) + C
-sin(x) + C
-cos(x) + C
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The integral of cos(x) is sin(x) + C.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the integral of cos(x)dx?
Solution:
The integral of cos(x) is sin(x) + C.
Steps: 6
Show Steps
Step 1: Understand that we want to find the integral of cos(x) with respect to x.
Step 2: Recall that the integral of a function gives us another function whose derivative is the original function.
Step 3: Remember the basic rule that the derivative of sin(x) is cos(x).
Step 4: Since the derivative of sin(x) is cos(x), we can say that the integral of cos(x) is sin(x).
Step 5: Add a constant 'C' to the result because integrals can have an infinite number of solutions that differ by a constant.
Step 6: Therefore, the final answer is sin(x) + C.
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