Home
Class 12
MATHS
(i) int(1)/((1+x^(2))tan ^(-1) x )dx " ...

` (i) int(1)/((1+x^(2))tan ^(-1) x )dx " "(ii) int(e^(tan^(-1)x))/(1+x^(2))dx`

Text Solution

Verified by Experts

The correct Answer is:
`(i) log | tan^(-1)x|+c" "(ii) e^(tan^(-1)x)+c`
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Exercise 7f|24 Videos
  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Exercise 7g|31 Videos
  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Exercise 7d|38 Videos
  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|18 Videos
  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise (prove That )|9 Videos

Similar Questions

Explore conceptually related problems

int(e^(tan^(-1)))/(1+x^(2))dx

int(e^(a tan^(-1)x))/(1+x^(2))dx

int(e^(a tan^(-1)x))/(1+x^(2))dx

int(e^(m tan^(-1)x))/(1+x^(2))dx

int(e^(ln tan^(-1)x))/(1+x^(2))dx

" (i) "int(e^(tan^(-1)x)dx)/((1+x^(2))

int(x^(2)tan^(-1)x)/(1+x^(2))dx

int(tan^(-1)x)/(x^(2))*dx

(i) int(1)/(sqrt(1-x^(2)).cos^(-1) x)dx (ii) int (sin(tan^(-1)x))/(1+x^(2))dx

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