4x-3-dx-2x-2-2x-3-

Question Number 65307 by divyajyoti last updated on 28/Jul/19

\int \frac{(4 x + 3) d x}{\sqrt{2 x^{2} + 2 x - 3}} = ?

Answered by divyajyoti last updated on 28/Jul/19

= \int \frac{d t}{\sqrt{t}} + \frac{1}{\sqrt{2}} \int \frac{d x}{\sqrt{{(x + \frac{1}{2})}^{2} - {(\frac{\sqrt{7}}{2})}^{2}}}

= 2 \sqrt{2 x^{2} + 2 x - 3} +

\frac{1}{\sqrt{2}} \ln ∣ x + \frac{1}{2} + \sqrt{x^{2} + x - \frac{3}{2}} ∣ + c .

Commented by divyajyoti last updated on 28/Jul/19

(n e w u s e r) I s o l v e d i t m y s e l f, h a h a h a!

j u s t l e a r n i n g h o w t o u s e t h e a p p .