Use the table of antiderivatives to determine if the following statement is true. $\int \frac{d x}{x^{2}-10 x+26}=\arctan (x-5)+C$

Name: Use the table of antiderivatives to determine if the following statement is true. $\int \frac{d x}{x^{2}-10 x+26}=\arctan (x-5)+C$
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Quizplus · Accepted Answer

The antiderivative of $\frac{d x}{x^{2}-10 x+26}$ is $\frac{1}{2} \arctan (x-5)+C$, so the given statement is true.

Use the Table of Antiderivatives to Determine If the Following ∫dxx2−10x+26=arctan⁡(x−5)+C\int \frac{d x}{x^{2}-10 x+26}=\arctan (x-5)+C∫x2−10x+26dx​=arctan(x−5)+C

Use the Table of Antiderivatives to Determine If the Following $\int \frac{d x}{x^{2}-10 x+26}=\arctan (x-5)+C$