Home
Class 12
MATHS
If f((3x-4)/(3x+4)) = x +2, then int f(x...

If `f((3x-4)/(3x+4)) = x +2`, then `int f(x) dx =`

A

`e^(x+2) log_(e)((3x-4)(3x+4))`

B

`-8/3 log_(e)(1-x) + 2/3x+c`

C

`8/3 log_(e)(x-1) + x/3+c`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|162 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos

Similar Questions

Explore conceptually related problems

If int f(x) dx = f(x) , then int {f(x)}^(2) dx =

int f(x) dx = g(x) , then int f(x)g(x) dx =

If 2f(x)- 3f(1/x) = x then int_1^(e) f(x) dx =

If int_(-1)^(4) f(x) dx = 4 and int_(2)^(4) f(x) dx = 7 then int_2^(-1) f(x) dx =

If f(x) = f(a - x) , then int_0^(a) xf(x) dx is equal to :

If int_0^(a) f(2a-x) dx = mu and int_0^(a) f(x) dx = lambda , then int_0^(2a) f(x) dx =

If f(x) = f(pi + e - x) and int_e^(pi) f(x) dx = 2/(e + pi) , then int_e^(pi) xf(x) dx is equal to

If g(x) = (f(x)-f(-x))/2 defined over [-3,3] and f(x) = 2x^(2)-4x+1 , then int_(-3)^(3) g(x) dx =

int(3x)/(1+2x^(4)) dx