How do you find the indefinite integral of #int (3/x)dx#?
# int(3/x)dx=3lnx +C = ln(Ax^3) #
You should remember a standard special case:
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To find the indefinite integral of (\int \frac{3}{x} , dx), you can use the rule for integrating powers of (x). Specifically, the integral of (x^n) is (\frac{x^{n+1}}{n+1}) for any real number (n) except (-1). Applying this rule, the integral of (\frac{1}{x}) is (\ln|x|). Therefore, the integral of (\frac{3}{x}) is (3\ln|x|).
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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