Home
Class 12
MATHS
int(1+2x+3x^(2)+4x^(3).....)dx=....+c(|x...

`int(1+2x+3x^(2)+4x^(3).....)dx=....+c(|x| lt 1)`

A

`(1-x)^(-1)`

B

`(1-x)^(-1)`

C

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

D

None of these

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER-7 (SECTION-A)|6 Videos
  • INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER-7 (SECTION-B)|4 Videos
  • INTEGRALS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMLAR PROBLEMS (Objective Type Questions)|15 Videos
  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 2 (SECTION - D)|2 Videos

Similar Questions

Explore conceptually related problems

int(x^(3)+5x^(2)-4)/(x^(2))dx

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

Knowledge Check

  • int(3^(2))/(x^(6)+1)dx=....

    A
    `log(x^(6)+1)+c`
    B
    `tan^(-1)(x^(3))+c`
    C
    `3 tan^(-1)(x^(3))+c`
    D
    `3 tan^(-1)((x^(3))/(3))+c`
  • int(2xtan^(-1)x^(2))/(1+x^(4))dx=...

    A
    `[tan^(-1)x^(2)]^(2)+c`
    B
    `(1)/(2)[tan^(-1)x^(2)]^(2)+c`
    C
    `2[tan^(-1)x^(2)]+c`
    D
    None of these
  • int(x^(4)+x^(2)+1)/(x^(2)+1)dx=......+c

    A
    `tan^(-1)x+(x^(4))/(4)`
    B
    `(x^(3))/(3)+tan^(-1)x`
    C
    `log(x^(2)+1)`
    D
    `(x^(3))/(3)+(1)/(2)log|(x+1)/(x-1)|`
  • Similar Questions

    Explore conceptually related problems

    int(x^(4)+x^(2)+1)/(x^(2)+1)dx=......+c

    int(1)/(x^(3))[logx^(x)]^(2)dx=...

    int(x^(2)+1)/(x^(4)-x^(2)+1)dx=...+c

    int(x^(2)+1)/(x(x^(2)-1))dx=....

    int ((x+3)/((x+4)^(2)))e^(x)dx=.....+C