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Integrate (4x+2)√x^2+x+1

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Integrate (4x+2)√x^2+x+1

Posted by Biman Das 5 years, 9 months ago

CBSE > Class 12 > Mathematics

1 answers

Somit Jaiswal 5 years, 9 months ago

I = (4x + 2) / (√x^2 + x +1)dx On Taking 2 common from denominator, We get I = 2(2x + 1) / (√x^2 + x + 1)dx So, we get the differentiation of denominator in numerator Put , , x^2 + x + 1 = t On differentiating the above equation (2x + 1 + 0)dx = dt (2x + 1)dx = dt ----eq^n(1) I = 2 / (√t) dt I = (2 × 2 √t) + C I = 4√t + C Now, Put the value of t We get I = 4(√x^2 + x + 1) + C -----Ans.

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