x - a x + a dx
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
\(\int \frac{\sqrt{\mathrm{x}}-\sqrt{\mathrm{a}}}{\sqrt{\mathrm{x}+\mathrm{a}}} \mathrm{dx}\)
- \(\sqrt{a x+x^{2}}-2 \sqrt{a^{2}+a x}-a \ln (\sqrt{x}+\sqrt{a+x})+c\)
- \(\sqrt{a x+x^{2}}-2 \sqrt{a+x}-a \ln (\sqrt{x}+\sqrt{a+x})+c\)
- \(\sqrt{a x+x^{2}}-2 \sqrt{a^{2}+a x}+a \ln (\sqrt{x}+\sqrt{a-x})+c\)
- None of these
Answer
(A) a x+x^ 2 -2 a^ 2 +a x -a ( x + a+x )+c
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The area bounded by the curve y=3+2 x-x^ 2 , y=0 & the ordinate at x=1 x=4 is
- If F(x)= 1 x^ 2 _ 4 ^ x (4 t^ 2 -2 F^ (t) ) d t then F^ (4) equals –
- The following integral is equal to
- The area enclosed by the curves y = sin x + cos x and y = |cos x – sin x | over the interval [0, 2 ] is
- The area bounded by y=2-|2-x| and y= 3 |x| is
- Value of the parameter a such that the area bounded by y=a^ 2 x^ 2 +a x+1 , co-ordinate axes and the line x=1…
- The value of _ - / 2 ^ / 2 x^ 2 x 1+e^ x d x is equal to
- If ( x 2 + x ) dx = x log |x | + ( x + 1) log | x +1| + k, then k equals
More Integral Calculus questions · Browse all practice questions