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master1425
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Homework Statement
[tex]\int sinx/(1+cos^{2}x)dx [/tex]
Can anyone help me with this problem?
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An indefinite integral is a mathematical expression that represents the antiderivative of a function. It is used to find the original function when only the derivative is known.
To solve an indefinite integral, you need to use integration techniques such as substitution, integration by parts, or trigonometric substitution. You can also use online integration calculators or consult with a math tutor for help.
A definite integral has specific limits of integration, which means that it gives a numerical value as the result. In contrast, an indefinite integral has no limits of integration, so it represents a family of functions that differ by a constant.
Some common mistakes when solving indefinite integrals include forgetting to add the constant of integration, making errors in algebraic manipulations, and missing a negative sign. It is essential to double-check your work to avoid these mistakes.
You can check your solution by taking the derivative of the antiderivative you found. If the result matches the original function, your answer is correct. You can also use online integral calculators to verify your solution.