If I _ n = ( x)^ n ~d x then I n + n I n–1 =
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
If \(\mathrm{I}_{\mathrm{n}}=\int(\ln x)^{\mathrm{n}} \mathrm{~d} x\)then In + n In–1 =
- (ln x)n
- x (ln x)n
- xn ln x
- x (ln x)n–1
Answer
(B) x ( l n x ) n
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- _ / 4 ^ 3 / 4 d x 1+ x is equal to
- The value of the integral ^ 3 x+ ^ 5 x ^ 2 x+ ^ 4 x d x is
- Consider the curve defined implicity by the equation y^ 2 -2 y e^ ^ -1 x +x^ 2 -1+[x]+e^ 2 ^ -1 x =0, Where…
- The value of _ 0 ^ / 2 d x 1+ ^ 3 x is
- The area bounded by the curves and x -axis in the 1 st quadrant is
- The area bounded by y=2-|2-x| and y= 3 |x| is
- e ^ 2 ^ -1 x (1+ x )^ 2 (1+ x ^ 2 ) dx is equal to
- The area of the region between the curves y= 1+ x x and y= 1- x x bounded by the lines x = 0 and x= 4 is
More Integral Calculus questions · Browse all practice questions