Question

Question: Answered & Verified by Expert

$\int \frac{6 x+5}{\sqrt{6+x-2 x^2}} d x=$

MathematicsIndefinite IntegrationAP EAMCETAP EAMCET 2017 (25 Apr Shift 2)

Options:

A $-3 \sqrt{6+x-2 x^2}+\frac{13}{2 \sqrt{2}} \operatorname{Sin}^{-1}\left(\frac{4 x-1}{7}\right)+c$
B $-3 \sqrt{6+x-2 x^2}+\frac{13}{\sqrt{2}} \operatorname{Sinh}^{-1}\left(\frac{4 x-1}{7}\right)+c$
C $-3 \sqrt{6+x-2 x^2}+\frac{13}{2 \sqrt{3}} \operatorname{Sinh}^{-1}\left(\frac{4 x+1}{7}\right)+c$
D $3 \sqrt{6+x-2 x^2}-\frac{13}{2 \sqrt{2}} \operatorname{Cos}^{-1}\left(\frac{4 x-1}{7}\right)+c$