Home
Class 12
MATHS
If inttanx/(1+tanx+tan^(2)x)dx =x-2/sq...

If `inttanx/(1+tanx+tan^(2)x)dx`
`=x-2/sqrt(A)tan^(-1)((2tanx+1)/sqrt(A))+c`, then A=

A

2

B

3

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTEGRATION

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|165 Videos

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos

  • LINE

    TARGET PUBLICATION|Exercise Evaluation Test|1 Videos

Similar Questions

Explore conceptually related problems

int(tan x)/(tan^(2)x+tan x+1)dx=x-(k)/(sqrt(A))tan^(-1)((k tan x+1)/(sqrt(A)))+C, then the ordered pir of (K,A) is equal to : (A) (2,1)(B)(-2,3)(C)(2,3)(D)(-2,1)

int(1)/(1+cos^(2)x)dx=(1)/(sqrt(2))tan^(-1)((tan x)/(sqrt(2)))+c

Knowledge Check

  • inte^(x)(1+tanx+tan^(2)x)dx=

    A
    `e^(x).sec^(2)x+c`
    B
    `e^(x).secx+c`
    C
    `e^(x).tan^(2)x+c`
    D
    `e^(x).tanx+c`

  • int(2tanx)/(2+3tan^(2)x)dx=

    A
    `(1)/(3)log(2+3tan^(2)x)`
    B
    `log(2cos^(2)x+3sin^(2)x)+c`
    C
    `tan^(-1)(tan^(2)x)+c`
    D
    `2x+3secx+c`

  • int((1+tan)/(1-tanx))^(2)dx=

    A
    `(1)/(3)log[(cosx-sinx)]^(3)+c`
    B
    `tan(x-(pi)/(4))-x+c`
    C
    `tan((pi)/(4)+x)-x+c`
    D
    `sec^(2)((pi)/(4)+x)+c`

    • Similar Questions

    Explore conceptually related problems

    int(dx)/(sin^(2)x+tan^(2)x)=(-1)/(l)cot x-(1)/(k sqrt(2))Tan^(-1)((tan x)/(sqrt(2)))+c then (k)^l=

    int(dx)/(sin^(2)x+Tan^(2)x)=(-1)/(l)cot x-(1)/(k sqrt(2))Tan^(-1)((tan x)/(sqrt(2)))+c then (k)^l=

    inttan^(-1)((2tanx)/(1-tan^(2)x))dx=

    int(1+tan^(2)x)/(1+tanx)dx=

    int sin^(-1)((2tanx )/(1+tan^(2)x))dx = ?

    Home
    Profile