Integral (X+square root of (X+1))/X+2 dx

Asked by rraj.15266 | 25th Nov, 2017, 07:34: AM

Expert Answer:

begin mathsize 16px style integral fraction numerator straight x plus square root of straight x plus 1 end root over denominator straight x plus 2 end fraction dx
integral open parentheses fraction numerator straight x over denominator straight x plus 2 end fraction plus fraction numerator square root of straight x plus 1 end root over denominator straight x plus 2 end fraction close parentheses dx
integral open parentheses fraction numerator straight x plus 2 minus 2 over denominator straight x plus 2 end fraction plus fraction numerator square root of straight x plus 1 end root over denominator straight x plus 2 end fraction close parentheses dx
integral open parentheses fraction numerator straight x plus 2 over denominator straight x plus 2 end fraction minus fraction numerator 2 over denominator straight x plus 2 end fraction plus fraction numerator square root of straight x plus 1 end root over denominator straight x plus 2 end fraction close parentheses dx
integral open parentheses 1 minus fraction numerator 2 over denominator straight x plus 2 end fraction plus fraction numerator square root of straight x plus 1 end root over denominator straight x plus 2 end fraction close parentheses dx
For space the space straight x plus 1 equals straight t squared
and space solve space it space further.

end style

Answered by Sneha shidid | 28th Nov, 2017, 05:21: PM