Evaluate ∫$$dx(2x$$−$$7)(x$$−$$3)(x$$−$$4)$$

Correct option is 212sec−1⁡(2x−7)+c

Questions

$Evaluate \int \frac{d x}{(2 x - 7) \sqrt{(x - 3) (x - 4)}}$

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sec−1⁡(2x−7)+c

12sec−1⁡(2x−7)+c

17sec−1⁡(2x−7)+c

None of these

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detailed solution

Correct option is B

I=∫dx(2x−7)(x−3)(x−4)=∫dx(2x−7)x2−7x+12=12∫2dx(2x−7)(2x−7)2−1=12sec−1⁡(2x−7)+c ∵ ∫dttt2-1=sec-1(t)+c

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Evaluate ∫dx(2x−7)(x−3)(x−4)

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$Evaluate \int \frac{d x}{(2 x - 7) \sqrt{(x - 3) (x - 4)}}$