If I = x^ 3 +x x^ 4 -9 ~d x then I equals :
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
If \(\mathrm{I}=\int \frac{x^{3}+x}{x^{4}-9} \mathrm{~d} x\)then I equals :
- \(\frac{1}{4} \log \left|x^{4}-9\right|+\frac{1}{12} \log \left|\frac{x^{2}+3}{x^{2}-3}\right|+c\)
- \(\frac{1}{4} \log \left|x^{4}-9\right|+\frac{1}{12} \log \left|\frac{x^{2}-3}{x^{2}+3}\right|+c\)
- \(\frac{1}{4} \log \left|x^{4}-9\right|-\frac{1}{12} \log \left|\frac{x-3}{x+3}\right|+c\)
- None
Answer
(B) 1 4 |x^ 4 -9 |+ 1 12 | x^ 2 -3 x^ 2 +3 |+c
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Assertion : If 1 f(x) d x=2 log | f (x)|+c, then f(x)= x 2 Reason : When f (x) = x 2 , then 1 f(x) d x= 2 x d…
- Evaluate : x d x 3 ^ 2 x+4 ^ 2 x
- If d x (x^ 2 -4 ) x+1 = 1 k | x+1 - 3 x+1 + 3 | - 1 2 ^ -1 x+1 +c then k equals
- If I= _ 0 ^ / 2 e^ - x d x where (0, ), then
- If f ( x ) is differentiable and _ 0 ^ t^ 2 x f(x) d x= 2 5 t^ 5 then f ( 4 25 ) equals
- The value of _ ^ 2 [2 x] d x where [⋅] represents the greatest integer function is
- Let = _ 0 ^ 1 d x 1+x^ 3 , p= _ n [ _ r=1 ^ n (n^ 3 +r^ 3 ) n^ 3 n ]^ 1 / n then ln p is equal to
- ( p x q x) d x is equal to (where p, q ∈ Z)
More Integral Calculus questions · Browse all practice questions