Home
Class 12
MATHS
Evaluate: int2^4x/(x^2+1)dx...

Evaluate: `int_2^4x/(x^2+1)dx`

Text Solution

Verified by Experts

`int_2^4x/(x^2+1)dx`
`=1/2 int_2^4 (2xdx)/(x^2+1)`
`=1/2 [log(x^2+1)]_2^4+c`
`=1/2 [log (16+1)-log(4+1)]+c`
`=1/2 log(17/5)+c`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    RD SHARMA|Exercise Solved Examples And Exercises|277 Videos

  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA|Exercise Solved Examples And Exercises|149 Videos

Similar Questions

Explore conceptually related problems

Evaluate : int_2^4 x/(x^2+1)dx

Evaluate: int(3-4x)/(2x^(2)-3x+1)dx

Evaluate the following integral: int_2^4x/(x^2+1)dx

Evaluate each of the following integral: int_2^4x/(x^2+1)dx

Evaluate :int_(1)^(4)(x^(2)+x)/(sqrt(2x+1))dx

" (7) Evaluate "int_(2)^(4)(2x)/(1+x^(2))dx

Evaluate: int(x+1)/(x^(2)+4x+5)dx

Evaluate: int(1)/((x^(2)+1)(x^(2)+4))dx

Evaluate int (1-3x)/(4x^2-9)dx

Evaluate: int(x^(4)dx)/((x-1)(x^(2)+1))