Home
Class 12
MATHS
int0^(sqrt3)(dx)/(1+x^2)dx...

`int_0^(sqrt3)(dx)/(1+x^2)dx`

Text Solution

Verified by Experts

`int_0^(sqrt3)(dx)/(1+x^2)dx=[tan^(-1)x]_0^(sqrt3)=pi/3`
Promotional Banner

Topper's Solved these Questions

  • Elements of Mathematics

    MBD PUBLICATION|Exercise QUESTION BANK|48 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    MBD PUBLICATION|Exercise QUESTION BANK|40 Videos

Similar Questions

Explore conceptually related problems

int_0^1(dx)/(sqrt(1-x^2)dx

Evaluate int_0^2 sqrt(4-x^2) dx

Evaluate int_0^1(x^5)/sqrt(1-x^2) dx

int_(2/sqrt3)^2(dx)/(x(sqrtx^2-1)

int_0^1x^5sqrt((1+x^2)/(1-x^2))dx

Show that int_0^1(Inx)/sqrt(1-x^2)dx=pi/2In1/2

int_0^(3/2)[2x]dx