نكتب e^x+1=e^(x+1)/2. إذن e^(x+1)/2dx=2e^(x+1)/2+C. الخطوة الحاسمة هي تحويل الجذر إلى صورة أسية.

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 $\int \sqrt{e^{x+1}}\,dx$ .

تكامل اقترانات خاصة

The answer

نكتب

\sqrt{e^{x+1}}=e^{(x+1)/2}

. إذن

\int e^{(x+1)/2}dx=2e^{(x+1)/2}+C

.

Explanation

الخطوة الحاسمة هي تحويل الجذر إلى صورة أسية.

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