أجد (6x)/(x2+9) dx.

مشتقة المقام 2x، والبسط 6x=3(2x). إذن التكامل 3|x2+9|+C=3(x2+9)+C. القيمة المطلقة يمكن حذفها هنا لأن x2+9>0.

تكامل اقترانات خاصة: Mathematics Tawjihi question with answer

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

From the Tawjihi question bank: Mathematics · التكامل

أجد $\int\frac{6x}{x^2+9}\,dx$ .

تكامل اقترانات خاصة

The answer

مشتقة المقام

2x

، والبسط

6x=3(2x)

. إذن التكامل

3\ln|x^2+9|+C=3\ln(x^2+9)+C

.

Explanation

القيمة المطلقة يمكن حذفها هنا لأن

x^2+9>0

.

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