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 ENGLISH|Exercise Exercise 7f|24 Videos

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7g|31 Videos

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7d|38 Videos

  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|18 Videos

  • INVERES TRIGONOMETRIC FUNCTIONS

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

Similar Questions

Explore conceptually related problems

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

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

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

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

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

int(1)/(sqrt(1+cos x))dx

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

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

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

(i) int(2cos x)/(sqrt(1-4cos^(2) x))dx " "(ii) int (x+1)/(sqrt(x^(2)+1))dx