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The general indefinite integral refers to the antiderivative of a given function. It is a mathematical expression that, when differentiated, produces the original function.
To find the general indefinite integral, you can use integration techniques such as substitution, integration by parts, or trigonometric substitution. You can also use online calculators or software to find the indefinite integral of a function.
A definite integral has specific limits of integration, while an indefinite integral does not. This means that a definite integral will give a numerical value, while an indefinite integral will give a function.
Some common mistakes when finding the general indefinite integral include forgetting to add the constant of integration, incorrect use of integration techniques, and not simplifying the final answer.
Yes, the general indefinite integral can be used to solve real-world problems such as finding the area under a curve, calculating work done by a variable force, and determining the velocity and acceleration of an object from its displacement function.
