I've attempted to integrate the function: \(\displaystyle{\frac{{{2}{x}+{7}}}{{{x}^{{2}}+{x}+{1}}}}\)

Quinn Dean

Quinn Dean

Answered question

2022-04-07

I've attempted to integrate the function:
2x+7x2+x+1

Answer & Explanation

llevochalecoiozq

llevochalecoiozq

Beginner2022-04-08Added 15 answers

Complete the square in the denominator:
x2+x+1=x2+x+14+34
=(x+12)2+(32)2
Put
x+12=32tanθ

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