If f ( 3 x-4 3 x+4 )=x+2, x - 4 3 and f(x) d x=A |l-x|+E x+C , then the ordered pair (A…
Mathematics · JEE Main · NTA Exams — Integral Calculus
If
\(f\left(\frac{3 x-4}{3 x+4}\right)=x+2, x \neq-\frac{4}{3} \text { and } \int f(x) d x=A \log |l-x|+E x+C\)
, then the ordered pair \((A, B)\) is equal to :(where c is a constant of integration)- \(\left(-\frac{B}{3},-\frac{2}{3}\right)\)
- \(\left(-\frac{B}{3}, \frac{2}{3}\right)\)
- \(\left(\frac{6}{3}, \frac{2}{3}\right)\)
- \(\left(\frac{6}{3},-\frac{2}{3}\right)\)
Answer
(A) (- B 3 ,- 2 3 )
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If I_ n = _ 1 ^ E ( x)^ n d x , then I_ n +n I_ n-1 is
- ^ n x ^ 2 x dx equals
- _ 0 ^ 2 x ^ 2 x ^ 2 x d x is equal to
- Smaller area enclosed by the circle x^ 2 +y^ 2 =4 and the line x+y=2 is :
- Evaluate the integral _ 1 ^ d x x+1 .
- _ 0 ^ x d x (1+x) (1+x^ 2 ) is equal to
- The value of _ -1 ^ 1 [ 1+x+x^ 2 - 1-x+x^ 2 ] d x is …
- e^ x e^ 2 x +5 e^ x +6 d x equals
More Integral Calculus questions · Browse all practice questions