Find ( int frac{(x+3)}{2x^2+6x+7} dx ).

Question

Find  ( int  frac{(x+3)}{2x^2+6x+7} dx ).

TuteeHUB · Accepted Answer

(  frac{1}{4} log u2061(2x^2+6x+7)     frac{3}{4} (  frac{1}{  sqrt{2}} tan^{-1} u2061  frac{2x+3}{2  sqrt{2}} )+C  )

TuteeHUB · Answer

(  frac{1}{4} log u2061(2x^2+6x+7) +   frac{3}{4}   left (  frac{1}{  sqrt{2}} tan^{-1} u2061  frac{2x+3}{2  sqrt{2}}  right )+C  )

TuteeHUB · Answer

(  frac{1}{4} log u2061(2x^2+6x+7)     frac{3}{4} (  frac{1}{  sqrt{2}} tan^{-1} u2061  frac{2x+3}{2  sqrt{2}} )+C  )

TuteeHUB · Answer

(log u2061(2x^2+6x+7) +   left (tan^{-1} u2061  frac{2x+3}{2 2}  right )+C  )

TuteeHUB · Answer

(log u2061(2x^2+6x+7)     frac{3}{4}   left (  frac{1}{ 2} tan^{-1} u2061  frac{2x+3}{2 2}  right )+C  )

1.	Find ( int frac{(x+3)}{2x^2+6x+7} dx ).
A.	( frac{1}{4} log u2061(2x^2+6x+7) + frac{3}{4} left ( frac{1}{ sqrt{2}} tan^{-1} u2061 frac{2x+3}{2 sqrt{2}} right )+C )
B.	( frac{1}{4} log u2061(2x^2+6x+7) frac{3}{4} ( frac{1}{ sqrt{2}} tan^{-1} u2061 frac{2x+3}{2 sqrt{2}} )+C )
C.	(log u2061(2x^2+6x+7) + left (tan^{-1} u2061 frac{2x+3}{2 2} right )+C )
D.	(log u2061(2x^2+6x+7) frac{3}{4} left ( frac{1}{ 2} tan^{-1} u2061 frac{2x+3}{2 2} right )+C )
Answer» B. ( frac{1}{4} log u2061(2x^2+6x+7) frac{3}{4} ( frac{1}{ sqrt{2}} tan^{-1} u2061 frac{2x+3}{2 sqrt{2}} )+C )

Discussion