Home
Class 12
MATHS
Evaluate: int1/(sqrt(8+3x-x^2))\ dx...

Evaluate: `int1/(sqrt(8+3x-x^2))\ dx`

Text Solution

Verified by Experts

`I=int1/(sqrt(8+3x-x^2))\ dx`
`I=int1/(sqrt(8+3x-x^2-9/4+9/4))\ dx`
`I=int1/(sqrt(8-[x^2-2x(3/2)+(3/2)^2-(3/2)^2))\ dx`
`I=int1/(sqrt(8-[(x-3/2)^2-(3/2)^2]))\ dx`
`I=int1/(sqrt(8-(x-3/2)^2+9/4))\ dx`
`I=int1/((sqrt(41)/4-(x-3/2)^2))\ dx`
`I=int1/(((sqrt41)/4)^2-(x-3/2)^2))\ dx`
`I=sin^(-1)((x-3/2)/(sqrt(4)/4))`
...
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos

  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|523 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int1/(sqrt(7-3x-2x^2))\ dx

Evaluate: int1/(x\ sqrt(a x-x^2))\ dx

Evaluate: int1/(sqrt(16-6x-x^2))\ dx

Evaluate: int1/(sqrt(7-6x-x^2))\ dx

Evaluate: int1/(sqrt(2x-x^2))\ dx

Evaluate: int1/(sqrt(x^2-4x+2))\ dx

Evaluate: int1/(sqrt(3x^2+5x+7))\ dx

Evaluate: int(1)/(sqrt(3-2x-x^(2)))dx

Evaluate: int1/(x^2sqrt(1+x^2))\ dx