Home
Class 12
MATHS
If int x/sqrt(1+x^2+sqrt((1+x^2)^3)dx= k...

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

Text Solution

Verified by Experts

2
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    RESONANCE|Exercise PART III: ONE OR MORE THAN ONE OPTIONS CORRECT TYPE|19 Videos
  • INDEFINITE INTEGRATION

    RESONANCE|Exercise COMPREHENSION|1 Videos
  • INDEFINITE INTEGRATION

    RESONANCE|Exercise Exercise-2 Part-13|10 Videos
  • GEOMETRY

    RESONANCE|Exercise Exercise-1 (Part-I: Previous Asked Question For Pre RMO)|50 Videos
  • MATRICES & DETERMINANT

    RESONANCE|Exercise HLP|33 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

Integrate : (a) int (sqrt(1-x^2) + sqrt(1+x^2) )/( sqrt(1-x^4) dx,

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

int(e^x[1+sqrt(1-x^2)sin^-1x])/sqrt(1-x^2)dx

int_(1)^(5)(sqrt(x+2sqrt(x-1))+sqrt(x-2sqrt(x-1)))dx =

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

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