Question
Find the indefinite integral. (Remember to use absolute values where appropr
Ask by O'Quinn Lowe. in the United States
Mar 25,2025
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The integrand is missing from the question.
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The Deep Dive
To find the indefinite integral of a function, you’ll generally need to know what that function is. But let’s say we’re integrating a common function, f(x) = 1/x. The integral would be ∫ (1/x) dx = ln|x| + C, where C is the constant of integration.
Remember, using absolute values is essential for the natural logarithm function since it’s only defined for positive numbers, so you include the |x| to cover cases where x could be negative. Happy integrating!
Now, suppose you’re working on more complex functions, like polynomials or trigonometric functions. Integration can reveal underlying relationships in a fun way—just think of it as reversing the process of taking a derivative! Keep the formulas handy, and you’ll find that some integrals are just waiting to surprise you with their simplicity.