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Evaluate the integral ∫ (1/x) dx.
Evaluate the integral ∫ (1/x) dx.
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Practice Questions
1 question
Q1
Evaluate the integral ∫ (1/x) dx.
ln
x
+ C
ln(x) + C
Show Solution
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The integral of 1/x is ln|x|. Therefore, ∫ (1/x) dx = ln|x| + C.
Questions & Step-by-step Solutions
1 item
Q
Q: Evaluate the integral ∫ (1/x) dx.
Solution:
The integral of 1/x is ln|x|. Therefore, ∫ (1/x) dx = ln|x| + C.
Steps: 5
Show Steps
Step 1: Identify the integral you need to evaluate, which is ∫ (1/x) dx.
Step 2: Recall the rule for integrating 1/x. The integral of 1/x is a special case.
Step 3: The result of the integral is the natural logarithm of the absolute value of x, written as ln|x|.
Step 4: Since this is an indefinite integral, you need to add a constant of integration, C.
Step 5: Combine the results to write the final answer: ∫ (1/x) dx = ln|x| + C.
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