Home
Class 12
MATHS
If int (3x+4)/(x^(3)-2x-4) dx = log |x-2...

If `int (3x+4)/(x^(3)-2x-4) dx = log |x-2|+ lamda log [f(x)]+c,` then-

A

`lamda =-(1)/(2)`

B

`f(x) =x^(2)+2x+2`

C

`f(x) =|x^(2) +2x+2|`

D

`lamda =(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Integer Answer Type)|5 Videos
  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Matrix Match Type)|2 Videos
  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise EXERCISE 6B (Long Answer Type Questions)|28 Videos
  • MEASURMENT OF TRIGONOMETRICAL ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type)|2 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE 2026|23 Videos

Similar Questions

Explore conceptually related problems

If int (2x^(3)-7x+2)/(x^(3)+2x^(2)) dx = 2x - n log |x| - 1/x +c then the value of n is -

If I=int (sin x + sin^(3)x)/(cos 2x) dx= A cos x + B log |f(x) |+c , then-

int (dx)/(x log (x))

int (dx)/(x[(log x)^(2)- 6 log x+5])

If I = int (sin x + sin^3 x)/(cos 2x) dx = A cos x + B log abs(f(x)) + c , then find A, B, f(x).

if int(x+2)/(x^(2)-3x +2)dx = Alog|x-2|-3log |x-1|+3 then the valueof A is-

If int (dx)/(a^(2)-x^(2))=(1)/(2a) log |f(x)|+c then f(x) is-

If int (dx)/(x^(2)-a^(2))= k log |(x-a)/(x+a)|+c , then the value of k is-

int x(x^x)^x (2 log x + 1) dx =

int dx/((x+1)(x-2)) = A log (x + 1) + B log (x - 2) + c where