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rayray19
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Homework Statement
the antiderivative of (-4x)/(x^2 + 3) dx
Homework Equations
The Attempt at a Solution
i got -2+c is that right at all, if not can somebody help me
The process for calculating the antiderivative of (-4x)/(x^2 + 3) dx is to first rewrite the expression as (-4x)(x^2 + 3)^-1 and then use the power rule of integration to solve for the antiderivative.
Yes, the antiderivative of (-4x)/(x^2 + 3) dx can be simplified further by using the substitution method or partial fractions, depending on the complexity of the expression.
The final answer for the antiderivative of (-4x)/(x^2 + 3) dx is (-2ln(x^2 + 3)) + C, where C is the constant of integration.
Yes, the antiderivative of (-4x)/(x^2 + 3) dx can be used to find the area under the curve by evaluating the antiderivative at the given limits and taking the difference between the two values.
No, there are no special cases to consider when calculating the antiderivative of (-4x)/(x^2 + 3) dx. However, it is important to be careful with the signs and remember to include the constant of integration in the final answer.