What is the integral of 1/x? (2022)

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Question: What is the integral of 1/x? (2022)

Options:

Correct Answer: ln

Solution:

The integral of 1/x is ln|x| + C.

What is the integral of 1/x? (2022)

What is the integral of 1/x? (2022)

Step 1: Understand that we want to find the integral of the function 1/x.
Step 2: Recall that the integral is the opposite of the derivative. We need to find a function whose derivative is 1/x.
Step 3: Remember that the derivative of the natural logarithm function, ln(x), is 1/x for x > 0.
Step 4: Since the function 1/x is defined for both positive and negative values of x (except at x = 0), we use the absolute value: ln|x|.
Step 5: Add a constant 'C' to the result because the integral can have many functions that differ by a constant.
Step 6: Conclude that the integral of 1/x is ln|x| + C.

No concepts available.