The value _ 1 n ^ 12 n-1 n x a-x + x d x is ,
Mathematics · JEE Main · NTA Exams — Integral Calculus
The value \(\int_{\frac{1}{n}}^{\frac{12 n-1}{n}} \frac{\sqrt{x}}{\sqrt{a-x}+\sqrt{x}} d x \text { is }\),
- \(\frac{a}{2}\)
- \(\frac{1}{2 n}(a n+2)\)
- \(\frac{\mathrm{na}-2}{\mathrm{Zn}}\)
- None of these
Answer
(D) None of these
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Statement - 1: _ 0 ^ ^ 2 x ^ -1 t d t+ _ 0 ^ cas ^ 2 x ^ -1 t d t= 4 for all x. Statement - 2: d d x _ ^ (x)…
- cosec x ^ 2 (1+ x 2 ) d x is equal to
- Evaluate x^ 8 (1-x^ 3 )^ 1 3 d x
- The area of the circle exterior to the parabola y^ 2 =6 x is :
- If [ ] denotes the greatest integer function, then the integral _ 0 ^ [ x] d x is equal to:
- The area of the region described by A = (x, y) : x 2 + y 2 ≤ 1 and y 2 ≤ 1 – x is
- The value of the integral I= _ 0 ^ 1 x(1-x)^ n d x is:
- [3] ^ n x ^ n+6 x d x, n ~N is equal to
More Integral Calculus questions · Browse all practice questions