أجد التكامل: (4)/((x - 2)(x - 4)) dx.

(4)/((x-2)(x-4))=-(2)/(x-2)+(2)/(x-4)؛ إذن التكامل -2|x-2|+2|x-4|+C. سؤال قصير مناسب للتأكد من إيجاد الثوابت بالتعويض السريع.

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: $\int \frac{4}{(x - 2)(x - 4)} dx$ .

التكامل بالكسور الجزئية

The answer

\frac{4}{(x-2)(x-4)}=-\frac{2}{x-2}+\frac{2}{x-4}

؛ إذن التكامل

-2\ln|x-2|+2\ln|x-4|+C

.

Explanation

سؤال قصير مناسب للتأكد من إيجاد الثوابت بالتعويض السريع.

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التكامل بالكسور الجزئية: Mathematics Tawjihi question with answer