Home
Class 12
MATHS
If int (dx)/(x^(2) + 2x+ 2) = f(x) + c ...

If `int (dx)/(x^(2) + 2x+ 2) ` = f(x) + c then f(x) =

A

`tan^(-1) ` (x+ 1)

B

`2 tan^(-1)` (x + 1)

C

`- tan^(-1)` (x + 1)

D

`3 tan^(-1)` (x + 1)

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE -II|157 Videos
  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|167 Videos
  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|16 Videos
  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise|6 Videos
  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

int (dx)/(sqrt(x) (x + 4)) = f(x) + c then f(x) =

int (dx)/(x^(2)+2x+2)= f(x)+c rArr f(x)=

If int e^(x) (x^(2) - 5x+ 8) " dx = " e^(x) f(x) + c then f(x) =

int sinx .log(Secx + tanx ) dx = f(x) + x + c then f(x) =

If int e^(x)(2+sin 2x)sec^(2)xdx=f(x)+c then f(x)=

If int (1)/((x + 100) sqrt(x + 99)) dx = f (x) + c then f(x) =

If int tan^(7) x dx = f(x) + log |cos x | +c then f(x) =

If int (4 sec^(2)" x tan x")/(sec^(2) " x + tan"^(2) x)" dx = log " |1 + f(x) | + C then f(x) =