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

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

Options:

Correct Answer: ln

Exam Year: 2022

Solution:

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

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

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

Step 1: Understand that we want to find the integral of the function 1/x with respect to x.
Step 2: Recall that the integral of a function gives us the area under the curve of that function.
Step 3: Recognize that the function 1/x is a common integral that has a known result.
Step 4: The result of the integral of 1/x is the natural logarithm of the absolute value of x, written as ln|x|.
Step 5: Add a constant 'C' to the result because when we integrate, we always include a constant to account for any vertical shifts in the function.

No concepts available.