Mathematics 2 Deneme Sınavı Sorusu #361306

What is the result of ∫(x+2)e^x-8dx?

xe^x-8+c

(x-8)e^x-8+c

-8e^x-8+c

(x+2)e^x-8+c

(x+1)e^x-8+c

Yanıt Açıklaması:

Letx-8=y then dy=dx and x=y+8. So we have

We need to use the method of integration by parts to find the first integral above. Let u=y and dv=e^ydy, then we get du=dy and v=e^y. Hence it is obvious that

Therefore, we find

PAYLAŞ:

SORUNUN CEVABI: E

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Mathematics 2 Deneme Sınavı Sorusu #361306

What is the result of ∫(x+2)ex-8dx?

SORUNUN CEVABI: E

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What is the result of ∫(x+2)e^x-8dx?