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التكامل بالأجزاء: 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: (x+1)cosxdx\int (x+1)\cos x\,dx.

التكامل بالأجزاء

The answer

u=x+1,dv=cosxdxu=x+1, dv=\cos xdx؛ إذن du=dx,v=sinxdu=dx, v=\sin x. الجواب (x+1)sinx+cosx+C(x+1)\sin x+\cos x+C.

Explanation

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