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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
If f(x)=4x2+4x−3f(x)=\sqrt{4 x^2+4 x-3} then ∫x+3f(x)dx\int \frac{x+3}{f(x)} \mathrm{d} x is equal
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Correct option: B
(1/4)f(x)+(5/4)log⁡∣2x+1+f(x)∣+C(1 / 4) f(x)+(5 / 4) \log |2 x+1+f(x)|+C
The correct answer is B because after substituting 2x+1=t2x+1=t and integrating, we obtain the given expression.

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