Home
Class 12
MATHS
Evaluate : int(0)^(a) (1)/(sqrt(a^(2) -x...

Evaluate : `int_(0)^(a) (1)/(sqrt(a^(2) -x^(2))) dx`

Text Solution

Verified by Experts

`int_(0)^(a) (1)/(sqrt(a^(2) -x^(2)) )dx =[ sin^(-1) .(x)/()]_(0)^(a)`
`=sin^(-1) .(a)/(a)-sin^(-1) 0`
` =sin^(-1) 1- 0=(pi)/(2).`
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Exercise 7a|14 Videos

  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Exercise 7b|26 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_(0)^(a)(1)/(x+sqrt(a^(2)-x^(2)))dx

Evaluate: int_(0)^(a)(x^(4))/(sqrt(a^(2)-x^(2)))dx

Evaluate int_(0)^(a) x^(4)sqrt(a^(2)-x^(2))dx

Evaluate : int_(0)^(1) (-1)/(sqrt(1-x^(2)) )dx

Evaluate: int_(0)^(a)(dx)/(x+sqrt((a^(2)-x^(2))))quad or int_(0)^((pi)/(2))(d theta)/(1+tan theta)

Evaluate: int_(0)^(1) (1)/(sqrt(3+2x-x^(2))dx

Evaluate : int_(0)^(1) (x)/(sqrt(1+x^(2)))dx

Evaluate :int_(0)^(1)(1)/(sqrt(2x+3))dx

Evaluate :int_(0)^(2)(1)/(sqrt(3+2x-x^(2)))dx

Evaluate :int_(0)^((1)/(2))(1)/(sqrt(1-x^(2)))dx