Home
Class 12
MATHS
The value of I=int(dx)/(2xsqrt(1-x)sqrt(...

The value of `I=int(dx)/(2xsqrt(1-x)sqrt((2-x)+sqrt(1-x)))=-1/2{log(z+3/2+sqrt(z^(2)+3z+3))}+1/2|log s-1/2+sqrt(s^(2)-s+1)|+C` and `s-z=k/x`, then value of k, is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 1|15 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 2|15 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|17 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

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

The value of I=int_(-sqrt(3)/2)^(sqrt(3)/2)(dx)/((1-x)sqrt(1-x^(2))) is

The value of int(log_(e)(x+sqrt(x^2)+1))/(sqrt(x^(2)+1))dx is

int_(0)^((pi)/(2))(dx)/((1-2x^(2))sqrt(1-x^(2)))=(1)/(2)log(2+sqrt(3))

int_(0)^((pi)/(2))(dx)/((1-2x^(2))sqrt(1-x^(2)))=(1)/(2)log(2+sqrt(3))

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

int(sqrt(1-x^(2))-x)/(sqrt(1-x^(2))(1+xsqrt(1-x^(2))))dx is

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

If int(x)/(sqrt(1+x^(2)+sqrt((1+x^(2))^(3))dx))=k sqrt(1+sqrt(1+x^(2))+c. find k)