أجد التكامل: (x - 10)/(x(x + 5)) dx.

(x-10)/(x(x+5))=-(2)/(x)+(3)/(x+5)؛ إذن التكامل -2|x|+3|x+5|+C. سؤال مراجعة مباشر على عوامل خطية مختلفة.

التكامل بالكسور الجزئية: Mathematics Tawjihi question with answer

A Tawjihi Mathematics question (التكامل) with the answer and worked steps.

From the Tawjihi question bank: Mathematics · التكامل

أجد التكامل: $\int \frac{x - 10}{x(x + 5)} dx$ .

التكامل بالكسور الجزئية

The answer

\frac{x-10}{x(x+5)}=-\frac{2}{x}+\frac{3}{x+5}

؛ إذن التكامل

-2\ln|x|+3\ln|x+5|+C

.

Explanation

سؤال مراجعة مباشر على عوامل خطية مختلفة.

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التكامل بالكسور الجزئية: Mathematics Tawjihi question with answer