Home
Class 12
MATHS
If int(ln(x+sqrt(1+x^2)))/(sqrt(1+x^2))d...

If `int(ln(x+sqrt(1+x^2)))/(sqrt(1+x^2))dx =asqrt(1+x^2)ln(x+sqrt(1+x^2))+b x+c` , then (A) `a=1,b =-1` (B) `a=1,b=1` (C) `a=-1, b=1` (D) `a=-1, b=-1`

Answer

Step by step text solution for If int(ln(x+sqrt(1+x^2)))/(sqrt(1+x^2))dx =asqrt(1+x^2)ln(x+sqrt(1+x^2))+b x+c , then (A) a=1,b =-1 (B) a=1,b=1 (C) a=-1, b=1 (D) a=-1, b=-1 by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

int x((ln(x+sqrt(1+x^(2))))/(sqrt(1+x^(2)))dx

int x((ln(x+sqrt(1+x^(2))))/(sqrt(1+x^(2))))dx=a sqrt(1+x^(2))ln(x+sqrt(1+x^(2)))+bx

Knowledge Check

  • int_(1)^(2)(1)/(x sqrt(log x))dx =

    A
    `sqrt(log 2)`
    B
    2
    C
    `2sqrt(log 2)`
    D
    0
  • If int 1/(xsqrt(1 - x^3)) dx = a log |(sqrt(1 - x^3) - 1)/(sqrt(1 - x^3) + 1)| + b , then a is equal to

    A
    `1//3`
    B
    `2//3`
    C
    `-1//3`
    D
    `-2//3`
  • Similar Questions

    Explore conceptually related problems

    int x(ln(x+sqrt(1+x^(2))))/(sqrt(1+x^(2)))dx equals

    the value of int x*(ln(x+sqrt(1+x^(2))))/(sqrt(1+x^(2)))dx

    If int(x*ln(x+sqrt(1+x^(2))))/(sqrt(1+x^(2)))dx=A*sqrt(1+x^(2))ln(x+sqrt(1+x^(2)))+Bx+c , then (3A^(2)+5B^(2))/(A-B) equal to __________.

    If int(x+(cos^(-1)3x)^(2))/(sqrt(1-9x^(2)))dx=Asqrt(1-9x^(2))+B(cos^(-1)3x)^(3)+C, then A-B is

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

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