∫$$dx2+x$$−$$3x2$$

Correct option is 413sin−16x−15+C

Questions

$\int \frac{d x}{\sqrt{2 + x - 3 x^{2}}}$

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13cos−13x−15+C

13tan−16x−15+C

13sec−16x−15+C

13sin−16x−15+C

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detailed solution

Correct option is D

13∫dx562−x−162 using ∫dxa2−x2=sin−1⁡xa+C

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∫dx2+x−3x2

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$\int \frac{d x}{\sqrt{2 + x - 3 x^{2}}}$