Home
Class 12
MATHS
(i) int(1)/(sqrt(1-x^(2)).cos^(-1) x)dx ...

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

Text Solution

Verified by Experts

The correct Answer is:
`(i) -log|cos^(-1)x|+c" "(ii) -cos (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(1)/((sqrt(1-x^(2)))sin^(-1)x)dx

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

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

int(x sin^(-1)x)/(sqrt(1-x^(2)))dx

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

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

(i) int (tan^-1 x)^2/(1+x^2) dx (ii) int (e^(sin^-1 x))/sqrt(1-x^2)dx (iii) int (sec^2(2tan^-1 x))/(1+x^2) dx

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

Evaluate: ( i ) int(x)/(sqrt(x^(2)+a^(2))+sqrt(x^(2)-a^(2)))dx (ii) int(x tan^(-1)x^(2))/(1+x^(4))dx

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